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Question

Mathematics Question on Probability

A coin is tossed thrice. The probability of getting a head on the second toss given that a tail has occurred in at least two tosses is

A

12\dfrac{1}{2}

B

116\dfrac{1}{16}

C

18\dfrac{1}{8}

D

14\dfrac{1}{4}

E

13\dfrac{1}{3}

Answer

14\dfrac{1}{4}

Explanation

Solution

Given that:

As per the question , the coin tossed thrice so,
The favorable outcomes for the event are THT and HHT.

Total outcome is 88 .

Hence, the required probability is 28=14\dfrac{2}{8} =\dfrac{1}{4} (_Ans)