List of top Economics Questions on Probability theory

In how many ways can 10 economists attending a conference be accommodated in 2 triple sharing and 2 double sharing hotel rooms?

Suppose we have three coins. The first coin has heads on both sides. The second coin has tails on both sides. The third coin has head on one side and tail on the second side. One coin is randomly selected and tossed. The upper side of this coin turns out to be a head. What is the probability that the other side of this coin is tail?

Consider a binomial distribution with parameters n and p. The variance of this distribution is:

Which of the following statements are correct?
(A) In case of a continuous random variable X, the cumulative distribution function can be obtained by carrying out a derivation of the probability distribution function with respect to x.
(B) In case of a discrete random variable X, the cumulative distribution function can be obtained by carrying out a derivation of the probability distribution function with respect to x.
(C) In case of a continuous random variable X, the probability distribution function can be obtained by carrying out a derivation of the cumulative distribution function with respect to x.
(D) In case of a discrete random variable X, the probability distribution function can be obtained by carrying out a derivation of the cumulative distribution function with respect to x.

Consider a binomial distribution with a very large N. This distribution can be approximated by:

List the following outcomes in descending order
(A) Probability of a head when one coin is tossed
(B) Probability of 5 heads when 10 coins are tossed independently
(C) Probability of 10 heads when 20 coins are tossed independently
(D) Probability of 50 heads when 100 coins are tossed independently
Choose the correct answer from the options given below: