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Combinatorics and Probability
12
Flashcards
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Rolling two six-sided dice
Determine the probability of the sum being 7
Drawing cards from a deck
Find the probability of drawing an Ace followed by a King without replacement
Flip of 3 coins
Calculate the probability of getting exactly 2 heads
Seating guests at a round table
Compute the probability that 3 specific guests will sit consecutively in any order
Drawing colored balls from a bag
Find the probability of drawing 2 red balls in a row without replacement from a bag of 3 red and 2 blue balls
Sock-pairing
Find the probability of choosing a matching pair of socks from a drawer containing 10 different pairs
Birthday Problem
Calculate the probability that at least two people in a room of 23 people share the same birthday
Arranging books on a shelf
Compute the probability that two particular books will be next to each other
Choosing a committee
Determine the probability of forming a committee of 2 women and 3 men from a group of 5 women and 6 men
Coin and die
Calculate the probability of flipping a head and then rolling a six
Lottery Ticket
Find the probability of winning a 6-number lottery with 49 possible numbers
Occupancy problem
Calculate the probability that no room is empty when 4 people are randomly assigned to 4 rooms
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