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Combinations and Permutations Questions - All Grades

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Grade 10 Combinations and Permutations
If 15 runners are in a race, how many possible ways are there to award 1st, 2nd, and 3rd place trophies?
  1. 455
  2. 2730
  3. 217,945,728,000
  4. 1,307,674,368,000
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.3 and P(B|A) = 0.6, what is the value of P(A or B)?
  1. 1
  2. 0.6
  3. 0.3
  4. 0.4
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the probability of event A, given that event B has not occurred?
  1. P(A | complement of B)
  2. P(A) * P(complement of B)
  3. P(A) / P(complement of B)
  4. P(A) + P(complement of B)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the probability of event A, given that both events A and B have already occurred?
  1. P(A | B)
  2. P(A | B and A)
  3. P(A and B) / P(B)
  4. P(A and B) / P(A)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If event A is independent of event B, what is the value of P(A and B)?
  1. P(A) * P(B)
  2. P(A) + P(B)
  3. P(A) / P(B)
  4. 0
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the joint probability of two events A and B?
  1. P(A | B)
  2. P(A) * P(B | A)
  3. P(A and B)
  4. P(A) + P(B)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the probability of the union of two events A and B?
  1. P(A) + P(B)
  2. P(A) * P(B)
  3. P(A) / P(B)
  4. P(A) + P(B) - P(A and B)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the marginal probability of event A?
  1. P(A)
  2. P(A | B)
  3. P(B | A)
  4. P(A and B)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If two events are independent, what is the formula for their joint probability?
  1. P(A) * P(B)
  2. P(A and B)
  3. P(A) + P(B)
  4. P(A | B)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the probability of event A given that event B has already occurred?
  1. P(A | B)
  2. P(B | A)
  3. P(A)
  4. P(B)
Grade 10 Combinations and Permutations
Simplify: (4x+2)!(4x)!
  1. 2!
  2. (x + 2)!
  3. (4x + 2) (4x + 1)
  4. (4x - 1)!
  5. none of these are correct
Grade 10 Combinations and Permutations
How many different ways can the 11 letters in the word PROBABILITY be arranged?
  1. 1,663,200
  2. 7,241,600
  3. 9,979,200
  4. 39,916,800
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