Question

1. how is the probability adjusted when dealing with dependent events in sequence?

a. by adding probabilities
b. by calculating the remaining possibilities
c. by multiplying probabilities
d. by dividing probabilities

Explanation:

When dealing with dependent events in sequence, the probability of the second event depends on the outcome of the first event. The formula for the probability of two dependent events \(A\) and \(B\) is \(P(A\cap B)=P(A)\times P(B|A)\), where \(P(B|A)\) is the probability of \(B\) given that \(A\) has occurred. This shows that we use multiplication of probabilities (adjusting the second - stage probability based on the first - stage outcome). Adding probabilities (\(a\)) is for mutually - exclusive events (either \(A\) or \(B\) can occur). Dividing probabilities (\(d\)) is not a standard operation for dependent - event sequence probability. Calculating remaining possibilities (\(b\)) is too vague compared to the well - defined multiplication rule for dependent event probabilities.

Answer:

C. By multiplying probabilities