30 times she should expect he sum to be 7.
Step-by-step explanation:
Here we have , Camille rolls two number cubes together and records the sum. If she does this 180 times, We need to find how many times should she expect the sum to be 7 . Let's find out:
Total number of outcomes are 36 ( there can be 36 pairs of sum possible ) , and favorable outcomes are :
[tex](1,6),(2,5),(3,4),(4,3),(5,2),(6,1)[/tex] i.e. 6 , So
Probability = ( Favorable outcomes )/( Total outcomes )
⇒ [tex]Probability = \frac{1}{6}[/tex]
But , she does this 180 times so we have ,
⇒ [tex]Times = \frac{1}{6}(180)[/tex]
⇒ [tex]Times = 30[/tex]
Therefore , 30 times she should expect he sum to be 7.
