Answer to Question #304857 in Statistics and Probability for Nisa

Question

Two balls are pick in succession without replacement, 4 white balls and 5 green balls. let Y be the random variable representing tge gree balls. Find the values of a random variable Y. Complete the table gelow.

Answer 1

Let's denote W - white ball, G - green ball.

Sample space S is all possible outcomes.

$$S = \{WW, WG, GW, GG\}$$

Let $Y$ be the random variables representing the number of grren balls that occur. The possible values of $Y$ are $0,1,2.$

$$\def\arraystretch{1.5} \begin{array}{c:c} Possible\ outcomes & Y \\ \hline WW & 0 \\ \hdashline WG & 1 \\ \hdashline GW& 1 \\ \hdashline GG & 2 \\ \hdashline \end{array}$$