Question

Find P(Y|B) from the information in the table.

Answer 1

Answer:

0.4

Step-by-step explanation:

The table with correct formatting is attached in the image below.

We have to find P(Y | B). This is a conditional probability i.e. probability of Y given B.

The formula of conditional probability for two event A and B is:

$P(A|B)=\frac{P(A \cap B)}{P(B)}$

So, for the given case, the formula would be:

$P(Y|B)=\frac{P(Y \cap B)}{P(B)}$

P(Y ∩ B) indicates the probability of Y and B occurring together. Y and B occur together 34 times out of total of 324, so:

$P(Y \cap B)=\frac{34}{324}$

P(B) indicates the probability of occurrence of B. B occurs 85 times in a total of 324. So,

$P(B)=\frac{85}{324}$

Using these values in the formula of conditional probability, we get:

$P(Y \cap B)=\frac{\frac{34}{324}}{\frac{85}{324} }\\\\ =\frac{34}{85}\\\\ =0.4$

Thus, the value of P(Y|B) is 0.4

Answer 2

Answer:

A.)0.4

Step-by-step explanation: