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Each of two persons tosses three fair co...

Each of two persons tosses three fair coins. The probability that they obtain the same number of heads is

A

`1/2`

B

`5/16`

C

`7/16`

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the probability that two persons tossing three fair coins obtain the same number of heads, we can follow these steps: ### Step 1: Determine the possible outcomes for one person tossing three coins. When tossing three coins, each coin has two possible outcomes: heads (H) or tails (T). The total number of outcomes when tossing three coins is given by: \[ 2^3 = 8 \] The possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
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Knowledge Check

  • Three coins are tossed. Then the probability distribution of number of head is

    A
    B
    C
    D

  • Two coins are tossed five times. The probability that an odd number of heads are obtained, is

    A
    `((1)/(2))^5`
    B
    `(3)/(5)`
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    `(1)/(2)`
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    C
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    D
    `(7)/(8)`

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