Simple A fair coin is tossed repeatedly. If head appears on first 4 tosses…

2023

Simple A fair coin is tossed repeatedly. If head appears on first 4 tosses then what is probability of appearance of tail in fifth toss.

  1. A.

    1/5

  2. B.

    275

  3. C.

    1/2

  4. D.

    4/5

Attempted by 37 students.

Show answer & explanation

Correct answer: C

Answer: 1/2

Reason:

A fair coin has probability 1/2 for head and 1/2 for tail on any single toss. Coin tosses are independent events, so the outcomes of the first four tosses do not change the probability for the fifth toss.

  • Independence: previous results do not affect future tosses.

  • Therefore: P(tail on 5th toss) = 1/2.

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