MENU
Question -

A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability that:
(i) one is red and two are white
(ii) two are blue and one is red
(iii) one is red



Answer -

Given: A bagcontaining 6 red, 4 white and 8 blue balls.

By using the formula,

P (E) = favourableoutcomes / total possible outcomes

Two balls are drawn atrandom.

Total possibleoutcomes are 18C3

n (S) = 816

(i) Let E be theevent of getting one red and two white balls

E = {(W) (W) (R)}

n (E) = 6C14C=36

P (E) = n (E) / n (S)

= 36 / 816

= 3/68

(ii) Let E be theevent of getting two blue and one red

E = {(B) (B) (R)}

n (E) = 8C26C=168

P (E) = n (E) / n (S)

= 168 / 816

= 7/34

(iii) Let E be theevent that one of the balls must be red

E = {(R) (B) (B)} or{(R) (W) (W)} or {(R) (B) (W)}

n (E) = 6C14C18C1+6C14C2+6C18C=396

P (E) = n (E) / n (S)

= 396 / 816

= 33/68

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×