A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, then…

A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, then the probability of getting two tails and one head is-
  1. 29
  2. 19
  3. 227
  4. 127

Solution

Given: PH=2PT

We know that, PH+PT=1

2PT+PT=1

PT=13 and PH=23

P2 tails and 1 head=13×13×23×3!2!for arrangements

P2 tails and 1 head=29

Asked in: JEE Main 2024 (31 Jan Shift 2)

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