Answer to Question #305016 in Statistics and Probability for Carlene

Question

Two balls are drawn in succession without replacement from an urn containing 5 orange balls and 6 violet balls. Let V be the random variable representing the number of violet balls 0 orange balls. Find the values of the random variable V.

Answer 1

Let's denote V - violet ball, O - orange ball.

Sample space S is all possible outcomes.

$$S = \{VV, VO, OV, OO\}$$

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

$$\def\arraystretch{1.5} \begin{array}{c:c} Possible\ outcomes & Y \\ \hline VV& 2 \\ \hdashline VO & 1 \\ \hdashline OV & 1 \\ \hdashline OO& 0 \\ \hdashline \end{array}$$