Tickets numbered 1 to 15 are placed in a hat

MATHEMATICS · Multi-part · GCSE · Mathematics · Probability · Probability

Problem

Tickets numbered 1 to 15 are placed in a hat, and one ticket is chosen at random. Let

A

be the event that the number drawn is greater than 11, and

B

be the event that the number drawn is less than 8. (1) Are

A

and

B

mutually exclusive? (2) Find: i

P(A)

P(B)

iii

P(A \times B)