First slide

Theorems of probability

Question

When a die is thrown the probability of getting an even number or multiple of 3 is

Moderate

A

$\frac{1}{2}$
B

$\frac{1}{3}$
C

$\frac{1}{6}$
D

$\frac{2}{3}$

Solution

$P (A \cup B) = P (A) + P (B) - P (A \cap B)$
= $\frac{3}{6} + \frac{2}{6} - \frac{1}{6} = \frac{4}{6} = \frac{2}{3}$

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