Answers NY-Algebra II Term 2 HillcrestTheoretical and Experimental Probability

Theoretical and Experimental Probability Answers

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A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.

22%

25%

75%

79%

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April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.What is the complement of April choosing five pop CDs?

choosing five CDs where none of them are pop

choosing five CDs where not all of them are pop

choosing five CDs where at least one of them is pop

choosing five CDs where all of them are pop

Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.Which choice represents the sample space, S, for this event?

S = {PQR}

S = {PQR, PRQ, QPR, QRP, RPQ, RQP}

S = {PQ, PR, QR}

S = {PQ, QP, PR, RP, QR, RQ}

A briefcase has a three-digit lock code that does not include zero as a digit.What is the probability that the lock code consists of all even digits if the same digit is not used more than once in the lock code?

24 out of 504

60 out of 504

24 out of 84

60 out of 84

Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?

S = {FGI, GFI, IFG}

S = {FGI, FIG, GFI, GIF}

S = {FGI, FIG, GFI, GIF, IFG, IGF}

S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF}

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.What is the theoretical probability that applesauce and broccoli will both be offered on Monday?

10%

20%

50%

80%

Dayshawn can choose two of his four t-shirts to take on a weekend trip.If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?

S = {ABCD}

S = {ABCD, DCBA}

S = {AB, AC, AD, BC, BD, CD}

S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}

Jasmine rolls a number cube 72 times. The number 2 is rolled 13 times and the number 3 is rolled nine times.To the nearest whole percent, what is the experimental probability of rolling a 2 or 3?

18%

22%

31%

The table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

65%

70%

75%

80%

Which statements are true about Yuri’s experiment? Select three options.

The theoretical probability of spinning any one of the five colors is 20%.

The experimental probability of spinning blue is .

The theoretical probability of spinning green is equal to the experimental probability of spinning green.

The experimental probability of spinning yellow is less than the theoretical probability of spinning yellow.

If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.

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Theoretical and Experimental Probability Answers

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