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Quantitative analyst Interview Questions

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There are two agents A and B. A has 'n' coins and B has 'n-1' coins (n>1). If they toss all the coins, what is the probability that B gets more heads than A (gets heads)?

7 Answers

summation(i = 0 to n-2) (nCi*n-1Ci+1)/2^(2x-1)

Let ha, hb be the number of heads A and B get, then the number of tails: ta = n - ha, tb = n-1-hb --> by symmetry between head and tail: the probability to have ha > hb is the same as the probability to have ta > tb --> P(ta > tb) = P(ha > hb) = P(n - ta > n-1 - tb) = P(ta tb) + P(ta P(ha > hb) = P(ta > tb) = 0.5

Let ha, hb be the number of heads A and B get, then the number of tails: ta = n - ha, tb = n-1-hb by symmetry between head and tail: the probability to have ha > hb is the same as the probability to have ta > tb --> P(ta > tb) = P(ha > hb) = P(n - ta > n-1 - tb) = P(ta tb) + P(ta P(ha > hb) = P(ta > tb) = 0.5

Minimize the number of comparisons for finding minimum and maximum of a given set of numbers.

6 Answers

What is the expected number of tosses required to achieve 2 heads in an unbiased coin?

5 Answers

Fibonaci Series - By recursion If f(100) takes 1 second, How much will f(101) will take

3 Answers

Get uniform distribution of number between 1 and 7 by rolling dice

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n people standing in a row with all of them having different heights. Expected position of the tallest guy.

2 Answers

Buffon's Needle Problem

2 Answers

Describe any one sorting algorithm in detail one puzzle regarding uniform distribution with two players where one players valuation of an item is twice that of others. explain new, delete keywords what is vega of an instrument?

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How do you create an event with a probability of 1/3 using an unbiased coin?

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How to find a loop in a linked list?

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