SOLUTION: Use the information below to calculate P(A|B).
P(A) = 0.529
P(B) = 0.46
P(A or B) = 0.703
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Question 1153533: Use the information below to calculate P(A|B).
P(A) = 0.529
P(B) = 0.46
P(A or B) = 0.703
Found 2 solutions by jim_thompson5910, VFBundy:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Given Values
P(A) = 0.529
P(B) = 0.46
P(A or B) = 0.703
Compute the probability events A and B happen simultaneously
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.529 + 0.46 - 0.703
P(A and B) = 0.286
Now use the conditional probability formula
P(A|B) = P(A and B)/P(B)
P(A|B) = 0.286/0.46
P(A|B) = 0.62173913043479 which is approximate
P(A|B) = 0.621 rounding to 3 decimal places
I rounded to 3 decimal places as this is the max number of decimal places for the given values.
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
P(A or B) = P(A) + P(B) - P(A and B)
0.703 = 0.529 + 0.46 - P(A and B)
0.703 = 0.989 - P(A and B)
-0.286 = -P(A and B)
P(A and B) = 0.286
P(A|B) = = = 0.6217
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