Question

For a Lucky Draw during a sale, customers had to choose a set of 7 numbers from 1 to 15, both inclusive. For the draw, 15 ping pong bals with one distinct number each to to 15 were placed in a box. 7 ping pong balls were drawn from the box with replacement What is the probability that the largest number appearing on any of the balls drawn was 92 16 8 13 None of these

Answer 1

4th option is correct.

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

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(Comment for further help)

ping pong Now Hence 7 Let X be the maximum of the of numbers in 7 balls, clearly P(x=9) = P(x & 9-P(X<9) Now Pl X €9) Probability that maximum of the 7 chosen numbers from 1 to 15 is anything less than or equal to a if 7 numbers are chosen between 1 to 9 then the maximum must be between 1 and 15. PCX & 9 as numbers are chosen with Replacement, Similarly, P&29)- P(x+8)= 18.1* Hence required probability is P(X=9) = (1/3) = 0.0157 Copprox) But 20.03168 (TS)* -0101227, 0.02799 Hence none of the given options A,B,C are correct. option is only correct option 15 15 구 7 18 B so 4th the