Technical Leader Interview Questions

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A box has 3 cells. A single ball is placed in the box and could found in any of the cells with the probabilities P_a, P_b, P_c for cell A,B,C. There are N such boxes with given different probabilities for each. Write a program for calculating the probability to find N_a boxes with A cells occupied and N_b boxes with B cells occupied and N_c boxes with C cells occupied, when obviously N_a + N_b + N_c = N
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Research Team Leader

Interviewed at Pagaya

3.3
Jan 7, 2020

A box has 3 cells. A single ball is placed in the box and could found in any of the cells with the probabilities P_a, P_b, P_c for cell A,B,C. There are N such boxes with given different probabilities for each. Write a program for calculating the probability to find N_a boxes with A cells occupied and N_b boxes with B cells occupied and N_c boxes with C cells occupied, when obviously N_a + N_b + N_c = N

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