probability

probability

probability

Three enevelopes are addressed for 3 secret letters written in invisible ink. A secretary randomly places each of the letters in an envelope and mails them. What is the probability that at least 1 person receives the correct letter?

Probability

In one math class of college there aer 10 males and 20 females. The professor makes 3 student teams to work on a group project. A) How many possible teams can be made? B) What is a probability that 2 females and 1 male will be in a group? C) What is a probability of 3 females only? D) What is a probabilty at least 2 females in a group?

Probability, solve using methods of probability in a poker game

Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit. A) Calculate the number of possible combinations of poker hands B) Calculate a probabilty of flush C) Calculate a probabilty of getting 4 aces on one hand D) calculate a probabilty of getting 2 aces or 2 kings e) Calculate a probability of getting royal flush: A,K,Q,J,10 in each suit Remember to use all probabilites methods and show in your answer!

Probabilty: solve using Bayes Theorem

An admissions committee must select students for an MBA program. Past data show that 70% of students complete (C) the program. It is also known that 50% of the graduating students scored above 500 (A) on the GMAT test. While 20% of the dropouts (D) scored that well. Consider a new MBA student. A) What is the prior probabilty that she will complete the degree B) Given that she scores 575 on the GMAT test, what is posterior probability that she will complete her MBA C) Given that she scores 450 on the test, what is the posterior probability that she will graduate?