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Tenth Grade (Grade 10) Statistics and Probability Concepts Questions

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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 18,000 people at 150 outlets of a chain restaurant and find out that 1.5% 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 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 Represent and Determine Probability CCSS: HSS-CP.B.8
Given that P(A and B) = 0.14, P(A) = 0.55, and P(B) > P(B|A), what is P(A|B)?
  1. 0.25
  2. 0.08
  3. 0.55
  4. Not enough information.
Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.7
Haley is collecting coins. She specifically likes to look for older coins or coins from other countries. Knowing this, her friend Andy decides to bring her a bag of coins he found in his grandfather's attic that nobody in his family wanted. There are 20 coins in the bag. Recently Haley read that, for most coin collections, 20% of the coins are from foreign countries and 70% are from the year 1932 and before. Assuming that this information is correct, she reasons that there are about 18 coins which she really wants (that are old or from a foreign country). Is she correct?
  1. Yes, she took both percentages, added them together, and then multiplied by 20.
  2. No, she doesn't know how many of the foreign coins are from before 1932, which would reduce the number of coins she wants to keep.
  3. No, she needs to multiply these percentages. Therefore, there are only about 3 coins she would want to keep.
  4. No, only one of the percentages applies. In order to not miss any coins she might want, she should go with the greater percentage, 70%. Therefore, she will keep about 14 coins.
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.1
Find A∪B when A={1,2,3,4,5,6}andB={2,4,6,8,10}.
  1. A∪B={2,4,6}
  2. A∪B={1,2,3,4,5,6,8,10}
  3. A∪B={1,2,2,3,4,4,5,6,6,8,10}
  4. A∪B={1,3,5}
Grade 10 Collecting and Interpreting Data CCSS: HSS-CP.A.2
P(A) = 0.3 that I have a sandwich in my lunch. P(B) = 0.8 that the sandwich does not contain nuts. The two events are
  1. independent.
  2. not independent.
  3. there is not enough information.
Grade 10 Collecting and Interpreting Data CCSS: HSS-IC.A.1
A group of students do a survey on how many classmates like to play soccer. There are 587 students in the school and the survey is given to 57 classmates. Did the survey give an accurate representation of the school?
  1. Yes, it was perfect.
  2. No, it was too small.
  3. Yes, it surveyed everyone in their class.
  4. Not enough information.
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

This question is a part of a group with common instructions. View group »

What is the probability that someone chosen at random eats out at a diner between 2 p.m. and 10 p.m.?
  1. 0.60
  2. 0.45
  3. 0.35
  4. 0.24
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.2
Find P(red, odd number) if you spun both spinners.
Spinner With ColorsSpinner With Numbers
  1. 16
  2. 418
  3. 14
  4. 1216
Grade 10 Represent and Determine Probability CCSS: HSS-MD.A.1
What is the sample space of a fair 12 sided dice?
  1. {1, 2, 3, 4, 5, 6}
  2. {1, 12}
  3. {2, 4, 6, 8, 10, 12}
  4. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
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) = 0.7 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
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