Question

Bill and Ben each have three cards numbered 4,5,6 they each take one of their own cards then they add the two numbers on the cards what is the probability that their answer is an odd number. What is the probability that their answer is a number less than 11.

Answer 1

• P(odd) = 4/9
• P(<11) = 2/3

Explanation:

There are 9 possible outcomes for (Bill, Ben)'s cards:

(4, 4) total 8; (4, 5) total 9; (4, 6) total 10;

(5, 4) total 9; (5, 5) total 10; (5, 6) total 11;

(6, 4) total 10; (6, 5) total 11; (6, 6) total 12.

Of these 9 outcomes, 4 have an odd total; 6 are less than 11.

P(odd) = 4/9

P(sum < 11) = 2/3