Question

Look a picture pls help!!!

Answer 1

.50

steps

P(A|B) is the probability of event A occurring given that event B has already occurred.

Since A and B are independent events, the probability of A occurring does not depend on whether B has occurred or not.

Therefore, P(A|B) = P(A).

In this case, we are given that

P(A) = 0.50 and P(B) = 0.30 so,

P(A|B) = P(A) = 0.50.

Answer 2

P(A | B) = 0.50

Explanation:

For two independent events, A and B:

• P(A) = 0.50
• P(B) = 0.30

To find the probability of A given B, we can use the conditional probability formula:

`\sf P(A | B)=(P(A \cap B))/(P(B))`

Remember that for two independent events, the intersection of those events is the product of the probability of each event happening:

`\sf P(A \cap B) = P(A) * P(B)`

Therefore:

`\begin{aligned}\sf P(A | B)&=\sf (P(A) * P(B))/(P(B))\\\\&=\sf P(A)\\\\&=0.50\end{aligned}`

Therefore, the probability of A given B is 0.50.