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Question -

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that:
(i) All the three balls are white
(ii) All the three balls are red
(iii) One ball is red and two balls are white



Answer -

Given: A bag contains8 red and 5 white balls.

By using the formula,

P (E) = favourableoutcomes / total possible outcomes

Total number of waysof drawing three balls at random is 13C3

n (S) = 286

(i) Let E be theevent of getting all white balls

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

n (E)= 5C3=10

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

= 10 / 286

= 5/143

(ii) Let E be theevent of getting all red balls

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

n (E)= 8C=56

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

= 56 / 286

= 28/143

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

E = {(R…. 80th R)}

n (E)= 8C15C=80

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

= 80 / 286

= 40/143

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