2000
Mathematics
67ca00ce0c643c71d77dee1f
If U = {x : x is an integer and 1 ≤ x ≤ 20 E1 = {x : x is a multiple of 3} E2 = {x : x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E2
A.
3/4
B.
3/10
C.
1/4
D.
1/20
Correct Answer: 3/4
Explanation
U = {1, 2, 3, 4, 5,..., 20} E1 = {3, 6, 9, 12, 15, 18} E2 = {4, 8, 12, 16, 20} P(E1) = 5/20 P(not E1) = 1 - (5/20) = 15/20 = 3/4
U = {1, 2, 3, 4, 5,..., 20} E1 = {3, 6, 9, 12, 15, 18} E2 = {4, 8, 12, 16, 20} P(E1) = 5/20 P(not E1) = 1 - (5/20) = 15/20 = 3/4THIS WEEK's
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