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

P(B|Y) = 4/10

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

Answer 2

P(B|Y)=0.4

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)=
`(P(B\cap Y))/(P(Y))`

From Venn diagram,
`P(B\cap Y)=(n(B\cap Y))/(26) =(8)/(26) =(4)/(13)`

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

Hence P(B|Y)=
`(((4)/(13)))/((10)/(13)) =(4)/(10)=0.4`