Question

The probability of event a occurring is 0.3 and the probability of event b occurring is 0.4. what is p(a and

b.given that a and b are independent events? 0.3 0.12 0.7 0.1

Answer 1

As they are independent we multiply the individual probabilities:-

P(a and b) = 0.3 * 0.4 = 0.12 (answer)

Answer 2

Answer: The correct option is (B) 0.12.

Step-by-step explanation: Given that the probability that event A occurs is 0.3 and the probability that event B occurs is 0.4.

We are given to find the probability that events A and B occur together, if they are independent events.

According to the given information, we can write

`P(A)=0.3,~~P(B)=0.4,~~~P(A\cap B)=?`

Since A and B are independent events, so we must have

`P(A\cap B)=P(A)* P(B)=0.3* 0.4=0.12.`

Thus, (B) is the correct option.