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Common Core Standard HSS-CP.A.4 Questions

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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.4

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What is the probability that someone chosen randomly prefers Flo's Diner?
  1. 0.76
  2. 0.30
  3. 0.22
  4. 0.12
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

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What is the conditional probability that someone who eats out between 6 a.m. and 2 p.m. prefers Mary's Diner?
  1. 0.28
  2. 0.37
  3. 0.42
  4. 0.55
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

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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.4

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What is the conditional probability that someone who prefers Spoon's Diner eats out between 6 a.m. and 2 p.m.?
  1. 0.28
  2. 0.36
  3. 0.55
  4. 0.65
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

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Is going to Spoons Diner independent of eating out between 2 p.m. and 10 p.m.? Why or why not? There may be more than one correct answer.
  1. The probability that someone eats out between 2 p.m. and 10 p.m. is 0.45. The probability that someone likes Spoons, given that they eat out between 2 p.m. and 10 p.m. is 0.28. Because these are not equal, the two events are not independent.
  2. The probability that someone like's Spoons is 0.36, while the conditional probability that someone prefers Spoons given that they eat between 2 p.m. and 10 p.m. is 0.28. Since these are not equal, the events are not independent.
  3. The probability that someone eats out between 2 p.m. and 10 p.m. is 0.45. The conditional probability that someone eats out between 2 p.m. and 10 p.m. given that they prefer Spoons is 0.35. Since these are no equal, the events are not independent.
  4. Because the probability that someone prefers Spoons is 0.36, and this is almost equal to the conditional probability that someone eats out between 2 p.m. and 10 p.m. given that they like Spoons (which is 0.35), the events are independent.
Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4
95 people were asked what type of soft serve ice cream they were most likely to buy. Their choices were vanilla, chocolate, and swirl (a combination of vanilla and chocolate). The chart shows the results. Which of the following statements are correct? There may be more than one correct answer.

VanillaChocolateSwirlTotal
Male622937
Female10272158
Total16493095
  1. There is almost no difference in probability in choosing someone who likes vanilla, whether choosing from all people, only men, or only women.
  2. It is nearly equally likely that you will choose someone at random who likes swirl, whether choosing from all people, only men, or only women.
  3. It is more likely that you will choose a man from people who like swirl, than if you choose from people who like vanilla.
  4. Randomly choosing a woman from people who like vanilla is more likely than choosing a woman from people who like chocolate.
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 conditional probability that someone prefers Flo's, given that they eat out between 2 p.m. and 10 p.m.?
  1. 0.05
  2. 0.12
  3. 0.22
  4. 0.24

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