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Tenth Grade (Grade 10) Combinations and Permutations Questions

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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
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
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
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
If 4!= 4 x 4 x 4 x 4, and 6!= 6 x 6 x 6 x 6 x 6 x 6, what does 9! equal?
  1. 9 x 9 x 9 x 9 x 9 x 9 x 9
  2. 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9
  3. 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9
  4. 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.7 and P(B) = 0.3, what is the value of P(A or B)?
  1. 1
  2. 0.3
  3. 0.7
  4. 0.4
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.8 and P(B|A) = 0.4, what is the value of P(A and B)?
  1. 0.32
  2. 0.4
  3. 0.8
  4. 0.7
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.6 and P(B) = 0.5, what is the value of P(A or B)?
  1. 1
  2. 0.5
  3. 0.6
  4. 0.11
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.5 and P(B) = 0.3, what is the value of P(A|B)?
  1. 0.3
  2. 0.6
  3. 0.5
  4. 0.375
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.5 and P(B|A) = 0.7, what is the value of P(B)?
  1. 0.35
  2. 0.7
  3. 0.5
  4. 0.12
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.7, P(B) = 0.3, and P(A and B) = 0.2, what is the value of P(A|B)?
  1. 0.67
  2. 0.29
  3. 0.23
  4. 0.57
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.7 and P(B|A) = 0.6, what is the value of P(A or B)?
  1. 1
  2. 0.6
  3. 0.7
  4. 0.4
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.4 and P(B) = 0.5, what is the value of P(A or B)?
  1. 0.9
  2. 0.5
  3. 0.4
  4. 0.6
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.3 and P(B|A) = 0.7, what is the value of P(A or B)?
  1. 1
  2. 0.7
  3. 0.3
  4. 0.4
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.7 and P(B|A) = 0.6, what is the value of P(A or B)?
  1. 1
  2. 0.6
  3. 0.7
  4. 0.4
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.3 and P(B|A) = 0.7, what is the value of P(A or B)?
  1. 1
  2. 0.7
  3. 0.3
  4. 0.4
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If P(A) = 0.5, P(B) = 0.6, and P(A and B) = 0.4, what is the value of P(B|A)?
  1. 0.4
  2. 0.6
  3. 0.8
  4. 0.2
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
If P(A) = 0.6, P(B) = 0.3, and P(A or B) = 0.9, what is the value of P(A and B)?
  1. 0.6
  2. 0.3
  3. 0.9
  4. 0.2
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