1.

If A,B and C are three independent events such that P(A)=P(B)=P(C )=p, then P (atleast two of A,B and C occur)=`3p^(2)-2p^(3)`

Answer» True
P(atleast two of A,B and C are occur)
`=pxxpxx(1-p)+(1-p)cdotpcdotp+p(1-p)cdotp+pcdotpcdotp`
`=p^(2)[1-p+1-p+1-p+p]`
`=p^(2)(3-3p)+p^(3)`
`=3p^(2)-3p^(3)+p^(3)=3p^(2)-2p^(3)`


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