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
given: bag which contains 8 red and 5 white balls
formula:
total number of ways of drawing three balls at random is 13C3
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)= 8C15C2=80