What is the probability that an integer x (1≤x≤25)
chosen at random is divisible by both 2 and 3?
A.
1/25
B.
1/5
C.
4/25
D.
3/4
Correct Answer: 4/25
Explanation
(1 ≤ x ≤ 25) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}
Number N of x divisible by both 2 and 3 is 4.
n(ε) = 25
= N/n(ε)
= 4/25
(1 ≤ x ≤ 25) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}
Number N of x divisible by both 2 and 3 is 4.
n(ε) = 25
= N/n(ε)
= 4/25