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According to the general equation for conditional probability, if P(A^B)= 3/10 and P(B)= 2/5 what is P(A|B)?

User Tortuga
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2 Answers

0 votes

Answer:

P(A/B)=
{(3)/(4)}

Explanation:

According to the general equation for conditional probability, if P(A^B)= 3/10 and P(B)= 2/5

P(A∩B) = 3/10

P(B)= 2/5

We need to find P(A/B)

the formula is P(A/B) = P(A∩B)/ P(B)

Plug in the given values

P(A/B)=
((3)/(10) )/((2)/(5) )

P(A/B)=
{(3)/(10) * {(5)/(2)

P(A/B)=
{(3)/(4)}

User Srivani
by
8.0k points
4 votes
P(A/B) = P(A∩B) / P(B)

P(A/B) = (3/10) / (2/5) = 3/10 x 5/2 = 15/20 = 3/4
User Mattgately
by
9.1k points

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