Probability Question 397
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:
Probability that $ (X=3) $
$ =\frac{1}{2}\times \frac{1}{3}+\frac{1}{2}\times \frac{1}{4}=\frac{7}{24} $