173k views
2 votes
The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probability of both events occurring, in that order?

A. P(A + B)
B. P(A) • P(B)
C. P(A) + P(B)
D. P(A x B)

2 Answers

7 votes
D. P(A x B)

To work out the success of both events you have to multiply them together. I'd seriously reccomend learning this rule as it's very important later on in mathematics as it's basically the foundation of all probability statistics.
User Jcern
by
7.9k points
1 vote

Answer: The correct option is (B) P(A) • P(B).

Step-by-step explanation: Given that the probability for success of an event is P(A) and the probability of success of a second event is P(B).

We are to find the probability of both events occurring, in that order.

We know that

if two events are independent of each other, then the probability of the intersection of the two events is given by the product of the probabilities of the events.

Here, the event that both events occur is given by (A ∩ B).

And, so the probability of both events occurring, in that order will be


P(A\cap B)=P(A).P(B).

Thus, the required probability is P(A) • P(B).

Option (B) is CORRECT.

User Maxlego
by
6.9k points