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

Question

Philoid · Accepted Answer

given: bag which contains 8 red and 5 white balls

We know,

total number of ways of drawing three balls at random is ¹³C_3.

therefore n(S)=286

(i) let E be the event of getting all white balls

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

n(E)= ⁵C₃

=10

(ii) let E be the event of getting all red balls

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

n(E)= ⁸C₃

=56

(iii) let E be the event of getting one red and two white balls

n(E)= ⁸C₁× ⁵C₂

=80

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