Exam-Style Problem

⬅ Back to Subchapter
Browsing as Guest. Progress, bookmarks and attempts are disabled. Log in to track your work.
June 2018 p63 q3
2601

The members of a swimming club are classified either as ‘Advanced swimmers’ or ‘Beginners’. The proportion of members who are male is \(x\), and the proportion of males who are Beginners is 0.7. The proportion of females who are Advanced swimmers is 0.55. This information is shown in the tree diagram.

For a randomly chosen member, the probability of being an Advanced swimmer is the same as the probability of being a Beginner.

(i) Find \(x\).

(ii) Given that a randomly chosen member is an Advanced swimmer, find the probability that the member is male.

problem image 2601
Log in to record attempts.
⬅ Back to Subchapter