An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X? Is X a random variable?

Explanation

Given, the urn has 5 red and 2 black balls

No. of ways urn can be drawn `={RR,RB,BR,BB}`

`n(S)=4`

Let X represent black balls
Possible values of X are 0,1,2

`P(X=0)=1​/4,P(X=2)=2/4​,P(X=2)=1/4​`

`∑P=P(X=0)+P(X=1)+P(X=2)=1/4​+2/4​+1/4​=1`

X is a random variable

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