What is the probability that an integer x ((1 leq x leq 25)) chosen at random is divisible by both 2 and 3?
-
A.
(frac{1}{25}) -
B.
(frac{1}{5}) -
C.
(frac{4}{25}) -
D.
(frac{3}{4})
Correct Answer: Option C
Explanation
((1 leq x leq 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((varepsilon)) = 25
= (frac{N}{n(varepsilon)})
= (frac{4}{25})
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