Let $A$ and $B$ be independent events, where $P(A) = 0.6$ and $P(B) = x$. Write do

Question

Let $A$ and $B$ be independent events, where $P(A) = 0.6$ and $P(B) = x$. Write down an expression for $P(A ∩ B)$.[1] Given that $P(A ∪ B) = 0.8$, [4] find $x$; find $P(A ∩ B)$. Hence, explain why $A$ and $B$ are not mutually exclusive. [1]

Accepted Answer

(a) $0.6x$ (b)(i) $0.5$ (b)(ii) $0.3$ (c) $P(A \cap B) = 0.3 \neq 0$

Use independence to solve an unknown event probability and distinguish mutual exclusivity.

Use independence to solve an unknown event probability and distinguish mutual exclusivity.

Video Solution:

Solution:

Solution locked