Probability, complements and expected frequency: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 3 red and 6 blue counters, all equally likely to be selected. Separately, an experiment records 7 successes in 17 trials.
Find the probability of selecting red from the bag.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability, complements and expected frequency: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 4 red and 7 blue counters, all equally likely to be selected. Separately, an experiment records 8 successes in 20 trials.
Find the probability of selecting red from the bag.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability, complements and expected frequency: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 4 red and 7 blue counters, all equally likely to be selected. Separately, an experiment records 8 successes in 20 trials.
Find the probability of not selecting red.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability, complements and expected frequency: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 5 red and 8 blue counters, all equally likely to be selected. Separately, an experiment records 9 successes in 23 trials.
Find the probability of not selecting red.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability, complements and expected frequency: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 5 red and 8 blue counters, all equally likely to be selected. Separately, an experiment records 9 successes in 23 trials.
The bag draw is repeated 130 times with replacement. Find the expected number of red selections.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability, complements and expected frequency: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 6 red and 9 blue counters, all equally likely to be selected. Separately, an experiment records 10 successes in 26 trials.
The bag draw is repeated 150 times with replacement. Find the expected number of red selections.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability, complements and expected frequency: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 6 red and 9 blue counters, all equally likely to be selected. Separately, an experiment records 10 successes in 26 trials.
Find the relative frequency of success in the separate experiment.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability, complements and expected frequency: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 7 red and 4 blue counters, all equally likely to be selected. Separately, an experiment records 11 successes in 29 trials.
Find the relative frequency of success in the separate experiment.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 3 red and 5 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of two red counters.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 4 red and 6 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of two red counters.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 4 red and 6 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of red followed by blue.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 5 red and 7 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of red followed by blue.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 5 red and 7 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of exactly one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 6 red and 3 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of exactly one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 6 red and 3 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of at least one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Combined probability with replacement: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 7 red and 4 blue counters. Draw a counter, replace it, mix, and draw again. All individual counters are equally likely on each draw.
Find the probability of at least one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 4 red and 7 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of two red counters.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 5 red and 8 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of two red counters.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 5 red and 8 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of red followed by blue.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 6 red and 3 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of red followed by blue.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 6 red and 3 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of exactly one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 7 red and 4 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of exactly one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 7 red and 4 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of at least one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Probability without replacement: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A bag contains 8 red and 5 blue counters. Two counters are drawn without replacement, one after the other.
Find the probability of at least one red counter.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 5 | 7 |
| Club B | 9 | 5 |
Choose one person uniformly at random.
Given the person is in Club A, find the probability they walk.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 6 | 3 |
| Club B | 4 | 6 |
Choose one person uniformly at random.
Given the person is in Club A, find the probability they walk.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 6 | 3 |
| Club B | 4 | 6 |
Choose one person uniformly at random.
Given the person walks, find the probability they are in Club A.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 7 | 4 |
| Club B | 5 | 7 |
Choose one person uniformly at random.
Given the person walks, find the probability they are in Club A.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 7 | 4 |
| Club B | 5 | 7 |
Choose one person uniformly at random.
Given the person is in Club B, find the probability they travel by bus.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 8 | 5 |
| Club B | 6 | 8 |
Choose one person uniformly at random.
Given the person is in Club B, find the probability they travel by bus.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 8 | 5 |
| Club B | 6 | 8 |
Choose one person uniformly at random.
Given the person takes the bus, find the probability they are in Club B.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Conditional probability and restricted samples: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A group is classified by club and travel method.
| Walk | Bus | |
|---|---|---|
| Club A | 2 | 6 |
| Club B | 7 | 9 |
Choose one person uniformly at random.
Given the person takes the bus, find the probability they are in Club B.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.