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June 2017 p62 q7
3023
During the school holidays, each day Khalid either rides on his bicycle with probability 0.6, or on his skateboard with probability 0.4. Khalid does not ride on both on the same day.
Find the probability that Khalid rides on his skateboard on at least 2 of 10 randomly chosen days in the school holidays.
Solution
Let the probability that Khalid rides his skateboard on a given day be 0.4. We need to find the probability that he rides on his skateboard on at least 2 out of 10 days.
This is a binomial probability problem where the number of trials is 10, and the probability of success (riding the skateboard) is 0.4.
The probability of riding on the skateboard on 0 or 1 day is: