Artificial intelligent assistant

Laura hire in apple? Laura has applied for a job with Company A. As part of the hiring process, Company A will of course look at her grade in a Business class. If Laura gets an $A$, there is a $85\%$ chance that Company A will hire her. But if she does not get an $A$, there is only a $10\%$ chance that they will hire her. Laura's professor says that there is a $70\%$ chance that Laura will get an A in her Business class $90$. What is the probability that Laura gets an A in Business class and also gets hired by Company A? My answer is $= 0.952$ that is correct?

Yes, you are correct in your comment above. But you should explain your reasoning so that someone who is reading your answer can understand the steps that you took to arrive at that answer. For example, this is how I would write-up the solution:

Let $H$ be the event that Laura gets hired and $A$ be the event that she gets an A in class. Then from the definition of conditional probability we have,

\begin{eqnarray} P(H|A) & = & \frac{P(H \cap A)}{P(A)} \\\ \implies P(H \cap A) & = & P(H |A) P(A) \\\ \implies P(H \cap A) &=& 0.85 \times 0.7 = 0.595 \textrm{ (Substituting the probabilities given in the question).} \end{eqnarray}

So the probability that Laura gets an A in business class and also gets hired by the company is $59.5\%$.

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