MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A circular spinner is numbered from 1 to 8, each number occupying an equal sector. When the pointer is spun once, note the following events:
Event A: the pointer stops at a number that is not a multiple of 3;
Event B: the pointer stops at a prime number.
(i) Determine P(A) in its simplest form.
(ii) Determine P(B) in its simplest form.
(iii) Compare P(A) and P(B) to decide which event is more likely.
(iv) Find the complement of event B and its probability, then verify that your answers for P(B) and P(B′) are consistent with the range rule P(B)+P(B′)=1. State your conclusion about the relative likelihood of B and B′.