84 people take a driving test.

A quarter are men.

Eor the men, the ratio pass : fail = 5 : 2

The number of women who pass is double the number of women who fail.

Complete the frequency tree

One of the people is chosen at random

Work out the probability that it is a woman who passes

Give your answer as a fraction in its simplest form.

Answer: The probability that you select a women who passes is 1/2.

First, let's look at the men. 21 of the 84 test takers were men. If the ratio is 5:2 for failing. Then, 15 failed and 6 passes.

Second, let's look at the women. 63 of the test takers were women. If double the number passed, then 42 passed and 21 failed.

The chances that a random person was a women who passes is 42 out of 84 or 1/2.