Math, asked by Devilking65, 1 year ago

Find p(a/b) if p(b) = 0.5 and p(a n b) = 0.32

2. If p(a) = 7/13 p(b) = 9/13 and p( a n b ) = 4/13 evaluate p(a/b)

Answers

Answered by BrainlyWarrior
51
Hey\: there!\\ \\ Solution:\\ \\1) Here P(B) = 0.5 \\ \\ P(A \cap B) = 0.32 \\ \\ P(A/B) = \frac{P(A \cap B)}{ P(B)} \\ \\ \:\:\:\:\:\:\:\:\:\: =\frac{0.32}{0.5}\\ \\ \:\:\:\:\:\:\:\:\:\:=\frac{32}{100}\times \frac{10}{5}\\ \\ \:\:\:\:\:\:\:\:\:=\frac{32}{50}\\ \\ \:\:\:\:\:\:\:\:\:\:\:=\frac{16}{25}\\ \\ \\ 2) Here P(A) = \frac{7}{13} \\ \\ P(B) = \frac{9}{13} \\ \\ P(A \cap B) = \frac{4}{13}\\ \\ P(A/B) =\frac{P(A \cap B)}{P(B)} \\ \\ \:\:\:\:\:\:\:\:\:\:=\frac{4}{13} \times \frac{13}{9} \\ \\ \:\:\:\:\:\:\:\:\:\:=\frac{4}{9}


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Answered by Soumok
15
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