KVPY SX SB Exam 2015 Question Paper

Question : 16 of 120

Marks: +1, -0

There are 6 boxes labelled

B_1, B_2, ..... , B_6

. In each trial, two fair dice

D_1, D_2

are thrown. If

D_1

shows j and

D_2

shows k, then j balls are put into the box

B_k

. After n trials, what is the probability that

B_1

contains at most one ball ?

Solution:

Required probability =

(5/6)^n+n(5^{n-1}/6^{n-1})(1/6^2)

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