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  4. If A, B and C are three independent events such that P(A)=P(B)=P(C)=P then P (at least two of A, B, C occur )=

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Q. If $A, B$ and $C$ are three independent events such that $P(A)=P(B)=P(C)=P$ then $P$ (at least two of $A, B, C$ occur $)=$

KCETKCET 2021Probability - Part 2

Solution:

$P(A)=P(B)=P(C)=P$
$P(A) \cdot P(B) \cdot P(C)+3 \cdot P^{2}(1-p)$
$P^{3}+3 p^{2}(1-P)=3 P^{2}-2 P^{3}$