Question

1. how do you calculate the probability of two independent events occurring in sequence?

a. add the probabilities
b. subtract the probabilities
c. multiply the probabilities
d. divide the probabilities

Explanation:

For two independent events \(A\) and \(B\), the probability of both \(A\) and \(B\) occurring is given by the formula \(P(A\cap B)=P(A)\times P(B)\). This is based on the definition of independent events in probability theory. Adding probabilities (\(P(A)+P(B)\)) is for mutually - exclusive events (either \(A\) or \(B\) occurs). Subtracting (\(P(A)-P(B)\) or \(P(B) - P(A)\)) and dividing (\(\frac{P(A)}{P(B)}\) or \(\frac{P(B)}{P(A)}\)) do not give the probability of two independent events occurring in sequence.

Answer:

C. Multiply the probabilities