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Mathematics

In a lottery, there are 5 prized tickets and 995 blank tickets. A person buys a lottery ticket. Find the probability of his winning a prize.

Probability

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Answer

Total no. of tickets = 995 + 5 = 1000

Let E1 be the event of getting a prized ticket, then number of favourable outcomes to E1 = 5

P(E1)=No. of favourable outcomes to E1Total no. of possible outcomes=51000=1200.P(E1) = \dfrac{\text{No. of favourable outcomes to } E1}{\text{Total no. of possible outcomes}} = \dfrac{5}{1000} = \dfrac{1}{200}.

Hence, the probability of winning a prize is 1200\dfrac{1}{200}.

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