Question

REALLY NEED HELP:  The Venn Diagram shows a universe with 26 elements and two different outcomes: B and Y



Find the following probability and write your answer as a decimal:

P(B|Y) = a0

Answer 1

Answer:

P(B|Y)=0.4

Step-by-step explanation:

We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y

And we are asked to find P(B|Y)

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

From Venn diagram, $P(B\cap Y)=\frac{n(B\cap Y)}{26} =\frac{8}{26} =\frac{4}{13}$

And P(Y)=$\frac{n(Y)}{26}=\frac{8+12}{26}= \frac{20}{26}= \frac{10}{13}$

Hence P(B|Y)=$\frac{(\frac{4}{13})}{\frac{10}{13}} =\frac{4}{10}=0.4$

Answer 2

Answer:

P(B|Y) = 4/10

Step-by-step explanation:

We have 26 elements in total in a universe with two different outcomes B and Y, as shown in the Venn diagram.

We are to find the probability  P(B|Y) and we are given the probabilities of B and Y. We need to use following formula to find P(B|Y):

P(B|Y) = P(B∩Y) / P(Y)

P(B∩Y) = 8/26 = 4/13; and

P(Y) = (12+8)/26 = 20/26 = 10/13

So substituting the values in the formula to get:

P(B|Y) = (4/13) / (10/13)

P(B|Y) = (4/13) x (13/10)

P(B|Y) = 4/10