# Answer to Question #23688 in Statistics and Probability for samudhbhav

Question #23688

a lottery consists of 10000 tickets out of which 10 are prizes. if a person selects 2 tickets what is the probability of not getting a prize

Expert's answer

The probability that the ticket& is prize is

P(the ticket is prize) = 10/10000 = 0.0001.

If a person has two tickets then the probability to win the prize is

P(to win the prize with two tickets) = 2·P(the ticket is prize) = 0.0002.

Therefore, the probability of not getting a prize is

P(the probability of not getting a prize with two tickets) =

1 - P(to win the prize with two tickets) =

1 - 0.0002 = 0.9998.

P(the ticket is prize) = 10/10000 = 0.0001.

If a person has two tickets then the probability to win the prize is

P(to win the prize with two tickets) = 2·P(the ticket is prize) = 0.0002.

Therefore, the probability of not getting a prize is

P(the probability of not getting a prize with two tickets) =

1 - P(to win the prize with two tickets) =

1 - 0.0002 = 0.9998.

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