A pair of dice is rolled~ A possible event is rolling a multiple of 5.
What is the probability of the complement of the event?
A. 2/36
B. 12/36
C. 29/36
D. 32/36
Getting 5 or 10?
1,4
4,1
3,2
2,3
5,5
6,4
4,6
7 ways to get the event, so Pr=7/36
Then the complement Pr= 1-Preventg= 29/36
29/36
To find the probability of the complement of an event, we need to subtract the probability of the event happening from 1.
Let's first determine the probability of rolling a multiple of 5. There are a total of 36 possible outcomes when rolling two dice (6 sides on each die, so 6 * 6 = 36).
To find the number of outcomes that are multiples of 5, we can list them: (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7, 5), (8, 5), (9, 5), (10, 5), (11, 5), (12, 5), (6, 10), (6, 15), (6, 20), (6, 25), (6, 30), (11, 10), (11, 15), (11, 20), (11, 25), (11, 30), (16, 10), (16, 15), (16, 20), (16, 25), (16, 30), (21, 10), (21, 15), (21, 20), (21, 25), (21, 30), (26, 10), (26, 15), (26, 20), (26, 25), (26, 30), (31, 10), (31, 15), (31, 20), (31, 25), (31, 30), (36, 10), (36, 15), (36, 20), (36, 25), (36, 30).
There are a total of 10 outcomes that are multiples of 5: (5, 5), (10, 5), (15, 5), (20, 5), (25, 5), (6, 10), (11, 10), (16, 10), (21, 10), (26, 10).
So the probability of rolling a multiple of 5 is: 10/36 = 5/18.
To find the probability of the complement, we subtract this probability from 1:
1 - 5/18 = 18/18 - 5/18 = 13/18.
Therefore, the probability of the complement of rolling a multiple of 5 is 13/18.
None of the given answer choices match this probability. Please double-check the options or rephrase the question.