# A pair of fair 6-sided dice is rolled. What is the probability that a 2 is rolled if it is known that the sum of the numbers landing uppermost is less than or equal to 6? (Enter your answer as an exact fraction.)

Question
Asked Dec 11, 2019
10 views

A pair of fair 6-sided dice is rolled. What is the probability that a 2 is rolled if it is known that the sum of the numbers landing uppermost is less than or equal to 6? (Enter your answer as an exact fraction.)

check_circle

## Expert Answer

Step 1

When we rolled two dice then the possible outcome or sample space is,

{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

Step 2

Total number of possible outcome that the sum of the numbers landing uppermost is less than or equal to 6 = 15

Total number of possible outcome that contains number 2 where the sum of the numbers landing uppermost is less than or equal to 6 = 7

Step 3

Now, the probability (P) that a 2 is rolled if it is known that the sum of the n...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in
© 2020 bartleby. All Rights Reserved.