
Probability and Combinatorics Problems
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for combinations?
Back
C(n, r) = n! / (r!(n - r)!) where n is the total number of items, r is the number of items to choose.
2.
FLASHCARD QUESTION
Front
How many ways can you choose 6 numbers from a set of 54?
Back
25,827,165 (using the combination formula C(54, 6)).
3.
FLASHCARD QUESTION
Front
What does P(A or B) represent in probability?
Back
The probability that either event A occurs, event B occurs, or both occur.
4.
FLASHCARD QUESTION
Front
If events A and B are mutually exclusive, how do you calculate P(A or B)?
Back
P(A or B) = P(A) + P(B).
5.
FLASHCARD QUESTION
Front
What is the formula for permutations?
Back
P(n, r) = n! / (n - r)! where n is the total number of items, r is the number of items to arrange.
6.
FLASHCARD QUESTION
Front
Calculate 8P4.
Back
1680 (using the permutation formula P(8, 4)).
7.
FLASHCARD QUESTION
Front
What is the probability of rolling a '4' exactly 25 times in 100 rolls of a fair die?
Back
1.0% (calculated using the binomial probability formula).
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