Problem #PRU-65356

Problems Probability and statistics Probability theory Conditional probability Discrete distribution Algebra Mean values

Problem

There is a deck of playing cards on the table (for example, in a row). On top of each card we put a card from another deck. Some cards may have coincided. Find:

a) the mathematical expectation of the number of cards that coincide;

b) the variance of the number of cards that coincide.