Question

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

P(A) • P(B)
P(A + B)
P(A x B)
P(A) + P(B)

Answer 1

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

`P(A\cap B)=P(A)\cdot P(B)`

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e.,
`P(A\cap B)`, therefore
`P(A\cap B)=P(A)\cdot P(B)`.

Hence, the correct option is A.