Statistics And Probability Question 78

Question: In praxis business school Kolkata, 50% students like chocolate, 30% students like cake and 10% like booth. If a student is selected at random then what is the probability that he likes chocolates if it is known that he likes cake?

Options:

A) 1/3

B) 2/5

C) 3/5

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Let P[a] = Probability that a randomly selected student likes chocolate = 0.5 Let $ P(B)= $ Probability that a randomly selected students likes cake = 0.3 Then $ P(A\cap B)=0.1 $ Now we have to find $ P(A/B)=P(A\cap B)/P(B)=0.1/0.3=1/3 $