Statistics And Probability Question 165

Question: A coin is tossed. If a head is observed, a number is randomly selected form the se {1, 2, 3} and if a tail is observed, a number is randomly selected from the set {2, 3, 4, 5}. If the selected number be denoted by X, what is the probability that X=3?

Options:

A) 2/7

B) 1/5

C) 1/6

D) 7/24

Show Answer

Answer:

Correct Answer: D

Solution:

  • [d] Probability that $ (X=3) $ $ =\frac{1}{2}\times \frac{1}{3}+\frac{1}{2}\times \frac{1}{4}=\frac{7}{24} $