Paper 4 · probability

A survey in a city shows that the probability a person is in favour of capital punishment is 0.55 and the probability a person is against it is 0.45. If two people are selected at random, find the probability that at least one of them favours capital punishment.

A0.5500

B0.2025

C0.7975

D0.3025

Explanation:

P(\text{at least one favours}) = 1-P(\text{neither favours}) = 1-0.45^2 = 1-0.2025 = 0.7975

Derived from ZIMSEC Statistics Paper 4, June 2009, Q1

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