Jake rolls two standard number cubes. Find the probability that the sum of the roll is 10, given that both cubes rolled odd numbers.
ways to do it:
5,5;
pr(5,5)=1/6*1/6
To find the probability that the sum of the roll is 10, given that both cubes rolled odd numbers, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes.
Since both cubes rolled odd numbers, we have to identify the pairs of odd numbers that sum up to 10. The possible pairs are (3, 7) and (7, 3). Therefore, there are 2 favorable outcomes.
Step 2: Determine the total number of possible outcomes.
When rolling two standard number cubes, each cube has 6 sides numbered from 1 to 6. So, the total number of possible outcomes is obtained by multiplying the number of sides on each cube (6) together: 6 * 6 = 36.
Step 3: Calculate the probability.
The probability is calculated by dividing the number of favorable outcomes (2) by the total number of possible outcomes (36):
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 36
Simplifying the fraction, we get:
Probability = 1 / 18
Therefore, the probability that the sum of the roll is 10, given that both cubes rolled odd numbers, is 1/18.