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A fair coin is tossed repeatedly. If tai...

A fair coin is tossed repeatedly. If tail appears on first four tosses, them the probability of head appearing on fifth toss equals is

A

`(1)/(2)`

B

`(1)/(32)`

C

`(31)/(32)`

D

`(1)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A

That event that the fifth toss results in a head is independent of the event that the first four tosses result in tails.
`:.` Probability of the required event `=1//2`
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IIT JEE PREVIOUS YEAR-PROBABILITY-TOPIC 3 INDEPENDENT AND CONDITIONAL PROBABILITY OBJECTIVE QUESTION I (ONLY ONE CORRECT OPTION)
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