Mathematics Part-II

Book: Mathematics Part-II

Chapter: 13. Probability

Subject: Maths - Class 12th

Q. No. 10 of Exercise 13.5

Listen NCERT Audio Books - Kitabein Ab Bolengi

10

A person buys a lottery ticket in 50 lotteries, in each of which his chance of winning a prize is 1/100. What is the probability that he will win a prize

(a) At least once


(b) Exactly once


(c) At least twice?

(a) In this question, let X represents the number of prizes winning in 50 lotteries and the trials are Bernoulli trials

Here clearly, we have X is a binomial distribution where n = 50 and


Thus,






Hence, probability of winning in lottery atleast once


= 1 – P (X <1)


= 1 – P (X = 0)





(b) Probability of winning in lottery exactly once





(c) Probability of winning in lottery atleast twice


= 1 – P (X < 2)








=


10

Chapter Exercises

More Exercise Questions