# Answer to Question #10123 in Statistics and Probability for Mehwish

Question #10123

in a game show the contestant is shown is 10 boxes,3 of which contain prizes.If a contestant is allowed to select any three boxes then what is the probability that

(1):- The contestant wins all the prizes.

(2):- Only one selected box contains prize.

(1):- The contestant wins all the prizes.

(2):- Only one selected box contains prize.

Expert's answer

(1):- The contestant wins all the prizes.

The probability that the contestant wins all the prizes is

P = 1/C(10,3) = 0.0083.

(2):- Only one selected box contains prize.

P = C(3,1)*C(7,2)/C(10,3) = 0.525.

The probability that the contestant wins all the prizes is

P = 1/C(10,3) = 0.0083.

(2):- Only one selected box contains prize.

P = C(3,1)*C(7,2)/C(10,3) = 0.525.

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