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Question

Unions.

(a) Assume that $P(A)=0.4, P(B)=0.3$, and $P(C)=0.1$. If the events $A, B$, and $C$ are disjoint, find the probability that the union of these events occurs.

(b) Draw a Venn diagram to illustrate your answer to part (a).

(c) Find the probability of the complement of the union of $A, B$, and $C$.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3a) Since the events are disjoint, we apply the addition rule to calculate the probability that the union of these events occurs.

$\begin{aligned} P(A \cup B \cup C) &=P(A) +P(B) +P(C)\\ &=0.4+0.3+0.1\\ &=0.8 \end{aligned}$

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