Question

Which of the following formulas is used to calculate the probability of independent events A and B?

A. P(A ∪ B)=P(A)+P(B)
B. P(A ∪ B)=P(A)·P(B)
C. P(A and B)=P(A)+P(B)
D. P(A and B)=P(A)·P(B)

Answer 1

P (A and B) = P(A) * P(B)...answer is D

Answer 2

The formula that is used to calculate the probability of independent events A and B are:

D. P(A and B)=P(A)·P(B)

Explanation:

Independent events--

Two events A and B are said to be independent if the happening of one event do not affect the happening of the other event.

For example-- The probability of getting two heads on rolling a die two times.

Hence, the formula that calculate the probability of independent events A and B is given by:

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