Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is at least 9.
To get a sum of at least 9, the possible combinations are:
- (3,6)
- (4,5)
- (5,4)
- (5,5)
- (6,3)
- (6,4)
- (6,5)
- (6,6)
There are a total of 36 possible outcomes when two 6-sided dice are tossed. Therefore, the probability of getting a sum of at least 9 is:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 8/36
Probability = 2/9
Therefore, the probability that the sum of the pips on the upward faces of the 2 dice is at least 9 is 2/9.