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A bag contains twelve pairs of socks and...

A bag contains twelve pairs of socks and four socks are picked up at random. The probability that there is at least one pair is equal to -

Text Solution

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P(atleast one pair) `= 1-`P(getting no pair)
`= 1- (.^12C_4.^2C_1 .^2C_1 .^2C_1.^2C_1)/(.^24C_4)`
`= 1- ((12xx11xx10xx9 xx2^4)/(4!))/((24 xx 23 xx 22xx21)/(4!))`
`= 1-120/161`
P( geeting atleast 1 pair) ` =41/161`
option D is correct
answer
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