# Miscellaneous / Basic Combinatorics And Probability

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## Can you name the Basic Combinatorics And Probability?

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What is the probability of rolling an even number on a fair die?
A fair coin is flipped 3 times, what is the probability that it lands as heads all 3 times?
How many possible 4 letter 'words' are there?
3 fair coins are flipped, what is the probability that exactly 2 come up heads?
How many possible 2 letter 'words' are there?
If 2 fair dice are rolled, and they both show the same number, what is the probability that the sum of the numbers is even?
How many possible outcomes are there if two fair dice (one red and one blue) are rolled?
How many possible 3 letter 'words' are there?
Mathematically, what does the following symbol mean? !
How many possible 2 character 'words' can be made if the first character is a letter and the second character is either a letter or a digit?
If 5 fair dice are rolled, what is the inverse of the probability that they will all show the same number?
How many possible different license plates can be made if it first has 2 letters, next has 2 digits, and lastly has 1 either letter or digit?
If there is a bag of M&M's, and the ratios of red to green to yellow to blue to orange to brown is 2:1:3:2:1:1 respectively, then what is the probability that the first M&M removed
How many possible 3 letter 'words' are there with no letters repeating?
One coin from each year with the dates 1987 through 1997 are flipped, how many possible outcomes are there?
What is the probability that the number rolled from a fair die is prime?
There is a class of 10 students, how many ways can the students be divided into groups of 5?
If 10 coins are flipped, 1 of them has heads on both sides, a different 1 has tails on both sides, and the other 8 are fair, what is the probability that they will all come up tail
In a combination, order doesn't matter, in what does order matter?
How many ways could a person get exactly 10 of these 20 questions correct?

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