Mathematics

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

What is the probability that an integer x,(1 (leq) x (leq) 20) chosen at random is divisible by both 2 and 3?
  • A.
    1/20
  • B.
    1/3
  • C.
    3/20
  • D.
    7/10
Correct Answer: Option 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