Two fair 4-sided dice, both with faces marked 1, 2, 3 and 4, are rolled. Event A

Question:

Two fair 4-sided dice, both with faces marked 1, 2, 3 and 4, are rolled.

Event A is ‘the sum of the numbers obtained is a prime number’.

Event B is ‘the product of the numbers obtained is an even number’.

a. Find, in simplest form, the value of P(A), of P(B) and of P(AB).

b. Determine, with justification, whether events A and B are independent.

c. Give a reason why events A and B are not mutually exclusive.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: