Question

1. - / 3 points g and h are mutually exclusive events. - $p(g) = 0.5$ - $p(h) = 0.3$ + part (a) - part (b) find $p(h \text{ or } g)$. + part (c)

Explanation:

Step1: Recall formula for mutually exclusive events

For mutually exclusive events \( G \) and \( H \), the probability of \( H \) OR \( G \) is given by \( P(H \text{ OR } G)=P(G)+P(H)-P(G \text{ AND } H) \). Since they are mutually exclusive, \( P(G \text{ AND } H) = 0 \).

Step2: Substitute the given values

We know \( P(G) = 0.5 \) and \( P(H)=0.3 \). Substituting into the formula: \( P(H \text{ OR } G)=0.5 + 0.3-0 \).

Step3: Calculate the result

\( 0.5+0.3 = 0.8 \).

Answer:

\( 0.8 \)