Question

A pair of fair dice each numbered 1 to 6 is tossed. Find the probability of a score of
a. Two odd numbers
b. A sum of 8 or sum of 12

Answer 1

Answer:

1/4

1/6

Step-by-step explanation:

a) There is a 1/2 chance of rolling a odd number each time you roll it. Why? Because there are 3 odd numbers on a 6 sided die, 1,3,5. If we roll it twice, it would be 1/2 x 1/2 so a 1/4 chance

b) For it to be a sum of 8 the following combinations are possible, where the first number is rolled first and the second number is rolled second.

2,6

3,5

4,4

5,3

6,2  

For it to be 12, it must be

6,6

There are a total of 6 ways to achieve this, and there is a total of 36 possible combinations, therefore 6/36 = 1/6 chance of rolling a sum of 8 or 12