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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

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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? Select the correct answer from above options

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(b) `p(1)= .^50C_1(1/100)(99/100)^49= 1/2(99/100)^49` (a) `P= .^50C_1(1/100)(99/100)^49 + .^50C_2(1/100)^2(99/100)^48 ...... .^50C_50(1/100)^500 (99/100)^0 ` `= (1/100 + 99/100)^50 - .^50C_0(99/100)^50` `= 12- 50(99/100)^50` (c) `p= 1 - .^50C_0(1/100)^0(99/100)^50 - .^50C_1(1/100)(99/100)^49` Answer

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