# Question: box a has three cards labelled 1 two cards labelled...

###### Question details

Box A has three cards labelled 1, two cards labelled 4 and five cards labelled 5.

Box B has twocards labelled 1, three cards labelled 2, three cards labelled 6.One card is chosen at random fromeach box.

(a) What is the probability that the sum of the numbers on both cards is a primenumber? [3]

(b) What is the probability that the product of thenumbers on both cards has 8factors?