Question

which word is associated with multiplication when computing probabilities? choose the correct answer below ○ or ○ not ○ disjoint ○ and

Explanation:

In probability theory, when we want to find the probability of two events both happening (event A and event B), we use the multiplication rule for probabilities (for independent events, \( P(A \text{ and } B)=P(A)\times P(B) \); for dependent events, \( P(A \text{ and } B)=P(A)\times P(B|A) \)). The word "Or" is associated with addition in probability (for mutually exclusive events, \( P(A \text{ or } B)=P(A)+P(B) \); for non - mutually exclusive events, \( P(A \text{ or } B)=P(A)+P(B)-P(A \text{ and } B) \)). The word "Not" is related to the complement rule (\( P(\text{not } A)=1 - P(A) \)). "Disjoint" is a term to describe events that cannot happen at the same time (mutually exclusive), not a term associated with multiplication. So the word associated with multiplication in computing probabilities is "And".

Answer:

D. And