Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?
Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.
Event A - get a green or yellow marble
Event B - get a pink marble
Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
\(P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20}
\\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5}\)
Probability of combined events is
\(P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}\)