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1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If John has purchased one lottery ticket, what is the probability of winning a prize?

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\frac{1}{200}

\frac{1}{300}

\frac{1}{400}

\frac{1}{100}

answer is A.

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Detailed Solution

Given, the total number of outcomes that are tickets of a lottery that were sold is 1000.
The P(A) of the random experiment as,

P (A) = \frac{Number of favorable outcomes}{Total number of outcomes}

The number of events selecting a prize ticket is, n(X)=5.
Since, there are only five prizes.
So, the probability of winning a prize is,

P (E) = \frac{5}{1000}

\Rightarrow P (E) = \frac{1}{200}

The probability of winning a prize is

\frac{1}{200}

.
Hence, option 1 is the correct answer.

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