The venn diagram shows a universe with 26 elements and two different outcomes: b and y
b=8
y=12
both=8
find the following probability and write your answer as a decimal:

p(b|y) =

1. B and Y are 2 events,and Y has already occurred.  

2. P(B|Y)=P(B∩Y)/P(Y),

gives the probability of B to occur, once Y has already happened. 

3. According to the givens (check the diagram at the bottom, of the described problem), 

P(B∩Y)=n(B∩Y)/n(U)=8/26=4/13

P(Y)=n(Y)/n(U)=12/26=6/13

P(B|Y)=P(B∩Y)/P(Y)=(4/13)/(6/13)=4/6=2/3=0.67

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