Question

1. the probability of event x is 50%. the probability of event y is 10%. if events x and y are mutually exclusive, what is the probability of event x or y?

60%
50%
10%
30%

Explanation:

Step1: Recall the formula for mutually exclusive events

For mutually exclusive events, the probability of \( X \) or \( Y \) (denoted as \( P(X \cup Y) \)) is given by the formula \( P(X \cup Y)=P(X)+P(Y) \), since \( P(X \cap Y) = 0 \) for mutually exclusive events.

Step2: Substitute the given probabilities

We know that \( P(X) = 50\%=0.5 \) and \( P(Y)=10\% = 0.1 \). Substituting these values into the formula, we get \( P(X \cup Y)=0.5 + 0.1=0.6 \) or \( 60\% \).

Answer:

60%