Question

There are 3 cards in Box A and 3 cards in Box B.

There is a number on each card.
Box A
3,4,5

Box B
9,2,3

Ryan takes at random a card from Box A and a card from Box B.
He adds together the numbers on the two cards to get a total score.
Work out the probability that the total score is an odd number.

Answer 1

• 4/9

Explanation:

Possible number of pairs of given cards:

• 3*3 = 9

Number of sums with odd score, two odd numbers added to an even number from each box:

• 2*1 + 1*2 = 4 (pairs of 3 and 5 with 2 or pairs of 9 and 3 with 4)

Required probability:

• P(odd) = 4/9