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A game consists of tossing a one-rupee c...

A game consists of tossing a one-rupee coin three times, and noting its outcomee each time. Find the probability of getting (i) three heads, (ii) at least 2 tails.

Text Solution

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The correct Answer is:
` (i) 1/8 (ii) 1/2`
When a coin is tossed 3 times, all possible outcomes are
HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
Number of all possible outcomes = 8.
(i) P(getting 3 heads) = `1/8`.
(ii) At least 2 tails means 2 or 3 tails.
All such cases are HTT, THT, TTH,TTT. Their number is 4.
` :. ` P(getting at least 2 tails) = `4/8 = 1/2`.
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Knowledge Check

  • A game consists of tossing a one-rupee coin three times and noting its outcome each time. Hanif wins if all the tosses give the same result, i.e., three heads or three tails and loses otherwise. Calculate the probability that Hanif will lose the game.

    A
    `2/5`
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    `5/6`
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    `7/8`

  • A coin is tossed successively three times. Find the probability of getting no heads.

    A
    0
    B
    1
    C
    `1/8`
    D
    `7/8`

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