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Common Core Standard HSS-CP.B.9 Questions

(+) Use permutations and combinations to compute probabilities of compound events and solve problems.

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Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the conditional probability of two events A and B?
  1. P(A and B)
  2. P(A) * P(B)
  3. P(A | B)
  4. P(B | A)
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 P(A) = 0.5, P(B) = 0.7, and P(A or B) = 0.9, what is the value of P(A and B)?
  1. 0.12
  2. 0.35
  3. 0.4
  4. 0.7
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 12 Combinations and Permutations CCSS: HSS-CP.B.9
If a coin is flipped 15 times, how many ways can you get 8 heads?
  1. 6,435
  2. 5.27⋅1027
  3. 32,432,400
  4. 3.24⋅105
Grade 12 Combinations and Permutations CCSS: HSS-CP.B.9
If a coin is flipped 5 times how many ways can you get 4 tails?
  1. 20
  2. 1
  3. 2880
  4. 5
Grade 12 Combinations and Permutations CCSS: HSS-CP.B.9
If a coin is flipped 18 times how many ways can you get 2 tails?
  1. 1.28⋅1016
  2. 153
  3. 3.2⋅1015
  4. 306
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