Question

Three balls are drawn from a bag containing 2 red and 5 black balls, if the random variable X represents the number of red balls drawn,then write the values that X can take .​

Answer 1

Step-by-step explanation:

Uru has 5 red and 2 black balls

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

n(S)=4

LEt X represent black balls

Possible values of X:X(RR)=0;X(RB)=1;X(BR)=1;X(BB)=2

Possible values of X are 0,1,2

P(X=0)=1, P(X=2)=2,P(X=2)=1

4 4 4

∑P ixi=P(X=0)+P(X=1)+

P(X=2)=1 + 2 + 1 =1

4 2 $

X is a random variable

Now, P(X=0=P(No black)

=5C^2 = 20

7C^2 42

P(X=1)=P(1 black ball)=

5C^1×2C^1 = 20

7C^2 42

P (X=2)=P(2 black balls)= 2C^2 = 2

7C^2 42

X=0;P(X=x)= 20

42

X=1;P(X=x)= 20

42

X=2;P(X=x)= 2

42

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