Q10 of 77 Page 32

A bag contains 4 red and 6 black balls. Three balls are drawn at random. Find the probability distribution of the number of red balls.

X represents the number of red balls drawn.


∴ X can take values 0,1,2 or 3


∵ there are total 10 balls


n(S) = total possible ways of selecting 2 balls =


P(X = 0) = P(selecting no red balls) =


P(X = 1) = P(selecting 1 red ball and 2 black balls)


=


P(X = 2) = P(selecting 2 red balls and 1 black ball)


=


P(X = 3) = P(selecting 3 red balls and 0 black ball)


=


Now we have pi and xi.


Following table represents the probability distribution of X :



More from this chapter

All 77 →
8

Find the probability distribution of the number of heads, when three coins are tossed.

 9

Four cards are drawn simultaneously from a well-shuffled pack of 52 playing cards. Find the probability distribution of the number of aces.

 11

Five defective mangoes are accidentally mixed with 15 goods ones. Four mangoes are drawn at random from this lot. Find the probability distribution of the number of defective mangoes.

 12

Two dice are thrown together, and the number appearing on them noted. X denotes the sum of the two numbers. Assuming that all the 36 outcomes are equally likely, what is the probability distribution of X?