Question

If two events a and b are independent and you know that p(a) = 0.20, what is the value of p(a | b)?

Answer 1

If two events a and b are independent and you know that p(a) = 0.20, the value of p(a | b) is 0.2.

Step-by-step explanation:

Given that events A and B are independent, and the probability of event A occurring is 0.20, we can find the value of P(A | B) as follows:

1. P(B) = 0.3 (given)
2. P(A AND B) = P(A) * P(B) (since A and B are independent)
3. P(A AND B) = 0.20 * 0.3 = 0.06
4. P(A | B) = P(A AND B) / P(B) = 0.06 / 0.3 = 0.2

Therefore, the value of P(A | B) is 0.2, meaning that given event B has occurred, the probability of event A occurring is 0.2.