Question

The probability of Shirley getting an A in math is 0.65, and the probability of her getting an A in science is 0.62. What is the probability that Shirley gets an A in both courses?0.40.50.60.7

Answer 1

Event X: Shirley gets an A in math

Event Y: Shirley gets an A in science

Now, the probabilities are:

`\begin{gathered} P\lbrack X\rbrack=0.65 \\ P\lbrack Y\rbrack=0.62 \end{gathered}`

X and Y are independent events, so the probability of X and Y can be calculated by:

`P\lbrack X\cap Y\rbrack=P\lbrack X\rbrack\cdot P\lbrack Y\rbrack`

Using the values for the probabilities, and rounding the answer to the nearest tenth:

`P\lbrack X\cap Y\rbrack=0.65\cdot0.62=0.403\approx0.4`