Question

If A and B are independent events, P(A and B)=

a. P(A)
b. P(B)
c. P(A)*P(B)
d. P(A)+P(B)

Answer 1

C

Explanation:

Answer 2

Option c is correct.

`P(A \text{and} B) = P(A) \cdot P(B)`.

Explanation:

An independent event states that an event that has no connection to another event chances of happening or in other word, the events has no effect on probability of another event occurring.

Given: A and B are independent events.

Here, A and B are two events.

Then, by definition of independent events

If the given events are independent,

then, the probability of both occurring is the product of the probability of each occurring.

then,

`P(A \text{and} B) = P(A) \cdot P(B)`.