Question

A jar contains 2 orange balls, 5 black balls, and 3 pink balls.

Answer 1

The probability of Event A is 5/10 which simplifies to 1/2.

The probability of Event B is 3/9 which simplifies to 1/3.

Because it says "and" we need to multiply them which gives us 1/2*1/3=1/6

Answer 2

$|\Omega|=10\cdot9=90\\ |A\cap B|=5\cdot3=15\\\\ P(A\cap B)=\dfrac{15}{90}=\dfrac{1}{6}$