Mathematics 4024 · O Level · Probability of combined events

Probability of combined events — practice question

A group of people were asked which continent they had visited on their most recent holiday. The results are shown in the table below.
(a(i))[1]

Find the probability that one of these people, selected at random, visited North America.

(a(ii))[1]

Find the probability that one of these people, selected at random, did not go to Asia. Give your answer as a fraction in its lowest terms.

(a(iii)(a))[2]

Complete the tree diagram shown.

(a(iii)(b))[2]

What is the probability that the two people went to the same continent?

(b(i))[3]

Draw a histogram to show this data.

(b(ii))[2]

Estimate how many people spent less than $700 on holidays in 2014.

(b(iii))[1]

Among the people who spent less than $250 on holidays in 2014, $\frac{2}{7}$ did not go on holiday. How many people were there who did not go on holiday in 2014?

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