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Tenth Grade (Grade 10) Statistics and Probability Concepts Questions

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Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
Grade 10 Collecting and Interpreting Data CCSS: HSS-IC.A.1
A research group wants to find out the average number of people in America who do not eat meat. They do surveys of 18 people at a vegetarian restaurant and find out that 90.5% of Americans do not eat meat.
  1. The study is too small to be accurate.
  2. The study was large enough to be very accurate.
  3. The study was not accurate because it surveyed customers of a single type of food outlet.
  4. Both A and C.
Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.8
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
Grade 10 Collecting and Interpreting Data
Grade 10 Collecting and Interpreting Data
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4
Residents of two different neighborhoods within a city were asked what their favorite sport is, basketball or soccer, with the results in the two-way table below. Is living in Leaside independent of someone's favorite sport, and why or why not?

SoccerBasketballTotal
Leaside512677
Danforth15823
Total6634100
  1. No, they are not independent, because a different number of people chose each sport.
  2. No, they are not independent, since P(Basketball) P(Leaside | Basketball).
  3. Yes, they are independent, because P(Soccer | Leaside) P(Soccer) and P(Leaside | Soccer) P(Leaside).
  4. Yes, they are independent, since P(Soccer and Leaside) P(Soccer) × P(Leaside) and P(Basketball and Leaside) P(Basketball) ×P(Leaside).
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.3
Adam has a bag of ten marbles, of which 3 are green, 3 are blue, and 4 are red. He also has a regular six-sided die. He lets choosing a blue marble be event A, and throwing a 5 or 6 when rolling the die be event B. Which of the following statements are correct? There may be more than one correct answer.
  1. P(A) = P(A|B), since events A and B are independent.
  2. P(A and B) = 0.1, since A and B are independent.
  3. P(A|B) = P(B|A), since events are independent.
  4. P(A|B), P(B|A) cannot be determined since not enough information has been given to determine P(A and B).
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Given A={22,24,26,28},  B={21,23,25,27}, find AB.
  1. {21,22,23,24,25,26,27,28}
  2. {22,23,24,25,26,27}
  3. {24,25}
Grade 10 Collecting and Interpreting Data
Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.8
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