Statistics And Probability Question 285

Question: For a biased die the probabilities for different faces to turn up are given below

Face : 1 2 3 4 5 6 Probability : 0.1 0.32 0.21 0.15 0.05 0.17 The die is tossed and you are told that either face 1 or 2 has turned up. Then the probability that it is face 1, is [IIT 1981]

Options:

A) $ \frac{5}{21} $

B) $ \frac{5}{22} $

C) $ \frac{4}{21} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  •              Required probability  $ =\frac{0.1}{0.1+0.32}=\frac{0.1}{0.42}=\frac{5}{21}. $