Answer:
P(A) = 0.575 = 23/40
Step-by-step explanation:
The definition of Conditional Probability says [tex]P(B|A)=\frac{P(A\cap B)}{P(A)}[/tex]. The question gives specific number values for two of those three quantities, so plug in the given numbers and solve for the unknown P(A).
[tex]0.8 = \frac{0.46}{P(A)}\\\\0.8 \cdot P(A) = 0.46\\\\P(A) = \frac{0.46}{0.8} = 0.575[/tex]
