What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random…

Mathematics JAMB 2005

What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?

  • 1/20
  • 1/3
  • 3/20 checkmark
  • 7/10

The correct answer is: C

Explanation

U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {x/x is divisible by 2}
A = {2,4,6,8,10,12,14,16,18,20}
B = {x/x is divisible by 3}
A ∩ B = {6, 12, 18}
P(Number divisible by both 2 and 3)
= 3/20
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