First slide

Theorems of probability

Question

The probability of the event A occuring is 0.5 and of B occurring is 0.3. If A and B are mutually exclusive events then the probability of neither A nor B occuring is

Moderate

A

0.6
B

0.5
C

0.7
D

0.2

Solution

$P (A) = 0.5, P (B) = 0.3$
$P (\bar{A} \cap \bar{B}) = 1 - P (A \cup B)$

= $1 - 0.8$

= $0.2$

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