Question

Jake rolls two standard number cubes. Find the probability that the sum of the roll is 10, given that both cubes rolled odd numbers.

A. 1/12
B. 1/9
C. 8/9
D. 11/12

Answer 1

The probability of rolling two odd numbers on two number cubes is 1/4.

Step-by-step explanation:

The probability of rolling two odd numbers on two number cubes can be found by multiplying the probabilities of rolling an odd number on each cube. Since each standard number cube has 3 odd numbers out of 6 possible outcomes, the probability of rolling odd numbers on both cubes is (3/6) * (3/6) = 9/36 = 1/4.

The sum of two numbers can be 10 if one number is 3 and the other number is 7. Since we are given that both cubes rolled odd numbers, we know that 3 and 7 are the only possible numbers. Therefore, the probability of getting a sum of 10 is 1 out of the 4 possible outcomes when rolling two odd numbers on two number cubes.