If the two dice are rolled 45 times, the number of times a sum of 9 will be rolled is 5.
Given that, two dice are rolled 45 times.
What is the probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
There are six different possible outcomes for a dice, the set (S) of all the outcomes can be listed as follows:
(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)
Total number of outcomes = 36
Number of favorable outcomes = 4
Number of times a sum of 9 will be rolled = 4/36 × 45
= 1/9 × 45
= 5
Therefore, if the two dice are rolled 45 times, number of times a sum of 9 will be rolled is 5.
