Question

A cookie jar contains 2 chocolate chip cookies, 5 oatmeal raisin cookies, and 3 sugar cookies.

Answer 1

The answer willl be a) 1/15, because in the question, it tells you that the event B happens without replacement. A will be 2/10 because theres two chocolate chip cookies out of all 10 items in the jar and probability of b) will be 3/9 as you have to take one away guven that there is no replacement. You then times the two probabilities together: 2/10 x 3/9 which gives you 6/90. This is then simplified into 1/15 by dividingboth parts of the fraction by a common factor :3. The answer will be A

Answer 2

$|\Omega|=10\cdot9=90\\ |A\cap B|=2\cdo3=6\\\\ P(A \cap B)=\dfrac{6}{90}=\dfrac{1}{15}\Rightarrow \text{A}$