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What is the probability that an integer x ((1 leq x leq 25)) chosen at…

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})

There is an explanation video available below.

Explanation Video