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

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

IIT JEEIIT JEE 1998Probability

Solution:

The event that the fifth toss results in a head is independent of the event that the first four tosses result in tails.
$\therefore \, \, $ Probability of the required event $= 1/2$