Latest Book Aptitude Question SOLUTION: Raja has 4 tickets of a lottery for which 12 tickets were sold and 3 prices are to be given. What is the probability that Raja will win at least one price?

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(#M40021384) BOOK question Keep an EYE

Raja has 4 tickets of a lottery for which 12 tickets were sold and 3 prices are to be given. What is the probability that Raja will win at least one price?

Asked In Book Abhishek (10 years ago)

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Sowmiya  (10 years ago)

atleast one price... so he can get upto 3 prices
probability of getting 1 price =3C1/4C1
probability of getting 2 price =3C2/4C2
probablity of gettig 3 price= 3C3/4C3
total probability=3c1/4c1 + 3c2/4c2 + 3c3/4c3

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sahil  (8 years ago)

Let E be the event that Raja will not won any price

n(E) = number of ways in which Raja will not won any price
= number of ways of taking 4 tickets from 12, none of them win a price
= number of ways of taking 4 tickets from 9 (=12-3)
= 9C4

n(S)= number of ways of taking 4 tickets from 12 = 12C4

Probability that Raja will not win any price = n(E)n(S)

=9C4/12C4 = 14/55

Probability that Raja will at least one price
= 1 - Probability that Raja will not win any price
=1−14/55=41/55

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