Question

p(A)=0.40 p(b)= 0.50 p(A and b) = 0.10 what is p(b/A)?


plz help​

Answer 1

Answer:

The answer is C, 0.25.

Step-by-step explanation:

In order to find the probability of (B | A), you need to use this formula:

Conditional Probability (A has already occured)

P(B | A) = P(A and B)

                     -------

                      P(A)

If you subsitute in the values you get this:

P(B | A) = 0.10

               ------

               0.40

0.1 divided by 0.4 is equal to 0.25.

 

Answer 2

The probability of (B|A) is 0.25 which is correct option(B).

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

P(A)=0.40

P(B)= 0.50

P(A ∩ B) = 0.10

In order to find the probability of (B|A),

Conditional Probability (A has already occured)

P(B|A) = P(A ∩ B)/P(A)

                   

Subsitute the values of P(A), P(B) and P(A ∩ B),

P(B|A) = 0.10/ 0.40

P(B|A) = 0.25

Hence, the probability of (B|A) is 0.25.

Learn more about probability

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