Let $A , B$ and $C$ be independent events with $P ( A ) = 0.1 , P ( B ) = 0.7$, and $P ( C ) = 0.9$. Find $P ( A$ and $B$ and $C )$.
A) 0.063
B) 0.078
C) 0.037
D) 0.07

Question

Quizplus · Accepted Answer

Since $A$, $B$, and $C$ are independent events, the probability of all three occurring is the product of their individual probabilities: $P(A \text{ and } B \text{ and } C) = P(A) \times P(B) \times P(C) = 0.1 \times 0.7 \times 0.9 = 0.063.$

Let A,BA , BA,B And CCC Be Independent Events With P(A)=0.1,P(B)=0.7P ( A ) = 0.1 , P ( B ) = 0.7P(A)=0.1,P(B)=0.7

Let $A , B$ And $C$ Be Independent Events With $P ( A ) = 0.1 , P ( B ) = 0.7$