# algebra 11

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At Joseph Middle School, the probability that a boy takes English and Science is 0.087. The probability that a boy takes English is 0.68. What is the probability that a boy takes Science given that the boy is taking English?

• conditional probability -

The conditional probability of S given E is
P(S|E)=P(S∩E)/P(E)
Here
P(S∩E)=0.087
P(E)=0.68
So
P(S|E)=0.087/0.68=0.128 (approx.)

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