## A jar contains 4 red marbles and 6 blue marbles. You reach in and randomly select two marbles. If X represents the number of blue marbles yo

Question

A jar contains 4 red marbles and 6 blue marbles. You reach in and randomly select two marbles. If X represents the number of blue marbles you selected, find the expected value of X.

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1 week 2021-09-10T22:54:40+00:00 1 Answer 0

1. Answer:  The required expected value of X is 1.2.

Step-by-step explanation: Given that a jar contains 4 red marbles and 6 blue marbles. Someone reach in and chose two marbles at random.

We are to find the expected value of X, if X represents the number of blue marbles the person selected.

* X = 0, i.e., two red marbles and 0 blue marbles are selected.

The probability of selecting 0 blue marbles and 2 red marbles is

* X = 1, i.e., one red marble and 1 blue marble is selected.

The probability of selecting 1 blue marble and 1 red marble is

* X = 2, i.e., 0 red marbles and 2 blue marbles are selected.

The probability of selecting 2 blue marbles and 0 red marble is

So, the probability distribution of X is given by

Therefore, the expected value of X is

Thus, the required expected value of X is 1.2.