Question

2 number cubes are rolled. (a) List the sample space. (b)What is the probability, as a simplified fraction, that the sum of the numbers is 4 or that the sum of the numbers is greater than 9? Show your work.

Answer 1

Solution:

When two number cubes  are rolled,

Sample space= Total Possible outcome {11,22,33,44,55,66,12,21,13,31,14,41,15,51,16,61,23,32,24,42,25,52,26,62,34,43,35,53,36,63,45,54,46,64,56,65}=36

Probability of an event = $\frac{\text{Total favorable outcome}}{\text{Total possible outcome}}$

Sum of 4 is obtained when ={13,31,22}=3

Probability of getting 4 when 2 number cubes are rolled= $\frac{3}{36}=\frac{1}{12}$

Sum of the numbers is greater than 9= 10, 11,12={55,64,46,56,65,66}=6

Probability of getting(Sum of the numbers is greater than 9)=$\frac{6}{36}=\frac{1}{6}$