Statistics and Probability Answers

The diameter of the circle is measured approximately. Assuming that its value is uniformly distributed on the interval [a, b], find the distribution of the circle square.

While distributing the deck of 52 cards to four players one of them did not get aces three times in a row. Does he have a reason to complain about bad luck?

Observations have shown that in some areas in September there are 12 rainy days in average. What is the probability that out of eight randomly taken days in this month three days will be rainy?

What is more likely: when throwing four dice receive a unit at least on one of them or with 24 tosses of two dice at least once get two units?

Suppose you have 3 pairs of jeans and 2 tube tops. How many different outfits are possible?

A singles golf tournament has 32 players. When a player loses, that player is eliminated. How many matches must be played before there is a winner?

The probability of hitting the target is 1/5. A shooter makes 10 shots. What is the probability of hitting the target at least twice?

The letter is in the table with the probability p. Moreover it can equiprobably be in any of the 8 boxes of the table. We have checked 7 boxes and didn’t find the letter there. What is the probability that the letter is in the 8th box?

Consider a family with two children. What is the probability that both kids are boys if:
a) the elder child is a boy;
b) at least one child is a boy?

Two persons agreed to meet at a certain place between 2 PM and 3 PM. Each person has to wait another one for 10 minutes and then leave. What is the probability of their meeting if everyone can arrive whenever during this hour?