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Three coins are tossed. If one of them s...

Three coins are tossed. If one of them shows tail, then find the probability that all three coins show tail.

Text Solution

Verified by Experts

The correct Answer is:
`1//7`
Let E be the event which all three coins show tail and F be the event in which a coin shown tail. Therefor, `F={HHT}.` Hence, the required probability is
`thereforeP(E//F)=(P(EnnF))/(P(E))=(1)/(7)`
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Knowledge Check

  • Three coins are tossed. Find the probability that tail does not appear.

    A
    `(3)/(8)`
    B
    `(1)/(8)`
    C
    `(1)/(4)`
    D
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