Answer:
P(AnB') = 1/7
P(A'UB') =5/7
P(B|A)=2/3
Step-by-step explanation:
from the venn diagram A and B shares 1,5
A = {1,4,5} this means sets found in A see the all values in first circle
B = {1,5,8,10,11} this means sets found in B see the all values in second circle
A'={8,10,11,12} this means sets NOT found in A see the all values NOT in first circle
B'={4,12} this means sets NOT found in B see the all values NOT in second circle
AnB={1,5} this means common sets shared by A and B
AuB = {1,4,5,8,10,11} this means sets in A or in B but do not write a number twice, example 1 is in A and B but you write it once.
AnB'={4} this means sets shared by A and B'
A'UB'={4,8,10,11,12} this means sets not in A' or not in B'
n=7 (count all the numbers you see)
I have written all the sets so we now solve for probabilities
P(A) = (numbers in A/All numbers (n) =3/7
P(B) = 5/7
P(AnB) = 2/7
P(AnB') = 1/7
P(A'UB') =5/7
P(B|A)=P(AnB) / P(A) = (2/7) ÷ (3/7) = (2/7)*(7/3) Reciprocal to change divide symbol to times symbol. Seven cancels out and you get 2/3.
