Probability Calculator
What is the probability of drawing an ace from a standard deck?
The probability is 1/13, which is 0.076923 or 7.6923%.
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Exact answers to common counting and probability questions
Each answer page uses the same values in the question, result, worked steps, and calculator link so the result is easy to verify.
Binomial Probability Calculator
What is the probability of exactly 3 heads in 5 coin flips?
The probability of exactly 3 successes is 31.25%.
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What is the probability of drawing exactly 2 aces in a 5 card hand?
The probability of exactly 2 successes is 3.993%.
Open answer pageCombination With Repetition Calculator
How many 4 scoop combinations can you make from 6 flavours if repeats are allowed?
6 choose 4 with repeats allowed is 126.
Open answer pagePermutation Calculator
What is 10P3?
10 permute 3 without repeats is 720.
Open answer pageMultiset Permutation Calculator
How many distinct arrangements of the letters in the word LETTER are there?
For item-group counts 2, 2, 1, 1, the number of distinct arrangements is 180.
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How many distinct arrangements of the letters in the country name CANADA are there?
For item-group counts 3, 1, 1, 1, the number of distinct arrangements is 120.
Open answer pagePermutation With Repetition Calculator
How many 6 digit PINs are possible?
10 choices for 6 ordered positions gives 1,000,000.
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How many distinct arrangements of the letters in the word APPLE are there?
For item-group counts 2, 1, 1, 1, the number of distinct arrangements is 60.
Open answer pageFactorial Calculator
What is 10!?
10! is 3,628,800.
Open answer pageFour Dial Lock Combination Calculator
How many combinations does a 4 digit lock have?
A 4-position lock code with 10 options per position has 10,000 possible codes.
Open answer pageThree Number Lock Combination Calculator
How many combinations does a 3 number lock have?
A 3-position lock code with 60 options per position has 216,000 possible codes.
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What is 9!?
9! is 362,880.
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What is 12 choose 5?
12 choose 5 without repeats is 792.
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What is 8!?
8! is 40,320.
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How many distinct arrangements of the letters in MISSISSIPPI are there?
For item-group counts 4, 4, 2, 1, the number of distinct arrangements is 34,650.
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What is 7!?
7! is 5,040.
Open answer pagePermutation Calculator
What is 12P3?
12 permute 3 without repeats is 1,320.
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