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Three coins are tossed simultaneously : ...

Three coins are tossed simultaneously :
(i) P is the event of getting at least two heads.
(ii) Q is the event of getting a tail on the second coin.

Text Solution

Verified by Experts

Three coins are tossed.
`therefore` the sample space is
`S={HHH, HHT, HTH, THH, HT T, THT, T TH, T T T }`
`thereforen(S)=8.`
(i) P is the event of getting at least two hwads.
`thereforeP={HHH, HHT, HTH, THH} therefore n(P)=4.`
(ii) Q is the event of getting a tail on the second coin.
`thereforeQ+{HTH, HT T, T TH, T T T}thereforen(Q)_=4.`
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Knowledge Check

  • Three fair coins are tossed simultaneously.Find the probability of getting at least two heads.

    A
    `3/8`
    B
    `7/8`
    C
    `1/2`
    D
    `1/4`

  • 3 coins are tossed simultaneously, A is the event of getting no head, then P(A) is ……….

    A
    `(1)/(8)`
    B
    `(3)/(8)`
    C
    `(5)/(8)`
    D
    `(7)/(8)`