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Probability Review SOL 8.11

Last updated almost 6 years ago

20 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

8.11 probability review

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17.

Cynthis has 14 roses in a vase (2 yellow, 5 pink, 3 white, and 4 red). She will randomly select 2 roses from the vase with no replacement. What is the probability that Cynthia will select a red rose and then a pink rose?

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1.

Determine the type of probability described: Landing on heads after tossing a coin and rolling a 5 on a single 6-sided die.

A: dependent events

B: independent events

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2.

Determine the type of probability described: Choosing a marble from a jar and landing on tails after tossing a coin.

A: dependent events

B: independent events

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3.

Determine the type of probability described: A bag contains 3 red cubes, 4 green cubes, and 5 blue cubes. One cube is taken from the bag and is not replaced. Another cube is taken.

A: dependent events

B: independent events

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4.

Determine the type of probability described: A coin is tossed, and a bowling ball is rolled down a lane.

A: dependent events

B: independent events

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5.

Determine the type of probability described: Picking a cookie from a jar, then picking another cookie after eating the first one.

A: dependent events

B: independent events

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6.

This table shows the drink and dessert selections at a party. Kimmy will randomly select one drink and one dessert from these lists. What is the probability that Kimmy will select water and apple pie?

A. 1/8

B. 1/3

C. 1/6

D. 1/2

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7.

All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

A. 4/11

B. 16/121

C. 16/110

D. 8/55

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8.

Twenty percent of the shoes manufactured by a company are black. One shoe is chosen and replaced. Then a second shoe is chosen. What is the probability that neither shoe is black?

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9.

Olivia has hard pieces of candy in a bowl. They are all the same size and shape. There are 1 green, 4 blue, and 5 red pieces of candy in the bowl. Olivia picks two pieces of candy without looking. What is the probability that Olivia will pick a red piece of candy, give it to a friend, and then pick a blue piece of candy?

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10.

Olivia picks two pieces of candy without looking. What is the probability that Olivia will pick a red piece of candy, put it back into the bowl, and then pick a blue piece of candy?

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11.

In which situation, Situation A (9) or Situation B (10), does Olivia have the best probability to get a red piece of cany followed by a blue piece?

Situation A

Situation B

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12.

You are guessing at 2 questions on a multiple choice test that have four choices: A, B, C, and D: What is the probability that you will guess the correct answers to both questions?

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13.

Suppose you can eliminate one of the choices for each question. What is the probability that your guesses are correct now?

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14.

Lee rolls a fair cube labeled 1 through 6 two times. On both rolls, the number 6 lands face-up. In this situation, the second roll is

A. Dependent on the first roll, because the outcome of the first roll affects the second roll.

B. Dependent on the first roll, because the outcome of the first roll does not affect the outcome of the second roll.

C. Independent of the first roll, because the outcome of the first roll affects the outcome of the second roll.

D. Independent of the first roll, because the outcome of the first roll does not affect the outcome of the second roll.

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15.

A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom. What is the probability that the first student who enters the classroom will be assigned a seat in the front row.

A. 2/5

B. 2/3

C. 4/11

D. 4/15

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16.

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a blue marble from each bag?

A. 5/9

B. 11/35

C. 1/6

D. 2/27

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18.

Clinton has two spinners. Spinner A has 4 congruent sections and Spinner B has 3 congruent sections shown below. Clinton will spin these two spinners at the same time: What is the probability that both spinners will land on a colour that is NOT pink?

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19.

What is the probabilty that Spinner A will land on orange and Spinner B will land on green?

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20.

Which of these best describes dependent events?

A. Randomly selecting a cube from a bag of 2 red cubes and 2 green cubes that are all the same size, not replacing it, then randomly selecting another cube.

B. Randomly selecting a cube from a bag of 3 red cubes and 2 green cubes that are all the same size, replacing it, then randomly selecting another cube.

C. Spinning the arrows of two spinners each with 2 equal sections one time.

D. Spinning the arrow of a spinner with 3 equal sections two times.