Question

Two balls are drawn in succession without replacement from an urn containing

2 green balls and 6 yellow balls. Let M be the random variable representing the

number of yellow balls.

Answer 1

Total number of balls=8

Since Two balls are drawn at random and M denote the number of yellow balls.

So M cane be 0,1,2

Probability distribution of M is-

$P(M=0)= \dfrac{^6C_0\times ^2C_2}{^8C_2}=\dfrac{1}{28}=0.0357 \\[9pt] P(M=1)= \dfrac{^6C_1\times ^2C_1}{^8C_2}=\dfrac{12}{28}=0.4287 \\[9pt] P(M=2)= \dfrac{^6C_2\times ^2C_0}{^8C_2}=\dfrac{15}{28}=0.5357 \\[9pt]$