# Probability questions: coin toss, bag of marbles, conditional probability, and card decks

1. You flip a coin three times, the possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT. What is the probability of getting at least two tales?

2. A bag contains 7 red marbles, 3 blue marbles, and 5 green marbles. If a marble is selected from the bag at random, what is the probability that it is blue?

3. Let A and B be two events such that P(A) = 1/6, P(B) = 2/9, and P(A or B) = 25/72. Find P(A&B).

4. A poker hand consists of 5 cards dealt from an ordinary desk of 52 playing cards. How many different hand combinations are possible?

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#### Solution Summary

This posting answers questions of probability of flipping a coin, selecting marbles from a bag, and drawing cards from a deck.

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