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The probability that in a family of 5 me...

The probability that in a family of 5 members,exactly two members have birthday on sunday is:-

Text Solution

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No of days = `7`
P(Sunday)=`1/7`
Required probabiity=`.^5C_2 xx 1/7 xx 1/7 xx 6/7 xx 6/7 xx 6/7`
`= 5 xx 4/2 xx (1/7)^2 xx (6 xx 6xx 6)/(7^3)`
`= (5 xx 2 xx 6 xx 6 xx6)/7^5`
P=`(10 xx 6^3)/7^5`
option 4 is correct.
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