Question

A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is the probability of choosing a green and then a yellow marble?

Answer 1

$$3+5+2+6=16$$

$$P(first\ G, second\ Y)=\dfrac{5}{16}\cdot\dfrac{6}{16}=\dfrac{15}{128}$$

The probability of choosing a green and then a yellow marble is $\dfrac{15}{128}.$