Complete question :
Compute the probability of each of the following events.
Event : The sum is greater than 6
Event : The sum is not divisible by 2
Answer:
7/12 ; 1/2
Step-by-step explanation:
Sample space :
2, 3, 4, 5, 6, 7
3, 4, 5, 6, 7, 8
4, 5, 6, 7, 8, 9
5, 6, 7, 8, 9, 10
6, 7, 8, 9, 10, 11
7, 8, 9, 10, 11, 12
Probability that sum is greater than 6:
Number of outcomes greater Than 6 = required outcomes = (7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12) = 21
Total sample space = total possible outcomes = 36
Probability = required outcome / Total possible outcomes
P(sum is greater Than 6) = 21 / 36
2.)
Obtaining an even number :
Sum not divisible by 2 = required outcomes = (3, 5, 7, 3, 5, 7, 5, 7, 9, 5, 7, 9, 7, 9, 11, 7, 9, 11) = 18
Total sample space = total possible outcomes = 36
P(sum is not divisible by 2) = 18 / 36 = 1 / 2
