Probability Review - Topic 7

30

Based on the data recorded in the table, how many winners would you expect if there are 100 players?

10

Based on the simulation, ______ of the 12 colonies thrive.

9

Based on the simulation, ______ of the 14 marbles are not yellow.

Impossible

Can never happen, having a probability of 0 or 0%

Theoretical Probability

Classify the following statement as an example of theoretical probability or experimental probability.

no

Does the list represent a complete probability model?

1/5

Five different names were put into a hat. A name is chosen 116 times and the name Maya is chosen 33 times. What is the theoretical probability of the name Maya being chosen?

pink

For which color is the experimental probability closest to the theoretical probability?

1/12

Four people enter their names into a drawing to win one of three prizes. The table represents all possible outcomes when choosing one name and one prize. What is the probability that Noah will win a Sweatshirt?

16

How many possible outcomes are there?

3

In _____ of the 10 trials, the team is simulated to win exactly 1 game.

11/50

P(copper)

unlikley

Probability < 1/2

impossible

Probability = 0

12/25

The relative frequency for "roll an odd number" is

Tree Diagram

A Diagram which shows all possible outcomes of an event, using connecting lines to create pathways

no

A bin holds 16 blue T-shirts, 17 red T-shirts, and 17 yellow T-shirts. You choose a T-shirt at random from the bin. Are the outcomes of this event equally likely?

HT

A coin is tossed two times in succession. The results of 100 trials are shown in the table where H represents a coin landing on heads and T represents a coin landing on tails. For which compound event is the result closest to the results predicted by theoretical probability? (Write answer as either HH, HT, TH, or TT).

Outcome

A possible result of an experiment

28

A restaurant offers 4 appetizers and 7 main courses. How many ways can a person order a two-course meal?

19%

A survey asked 700 people for their favorite genre of book. Find P(adventure) as a %

16%

A survey asked 700 people for their favorite genre of book. Find P(comedy) as a %

18%

A survey asked 700 people for their favorite genre of book. Find P(mystery) as a %

26%

A survey asked 700 people for their favorite genre of book. Find P(other) as a %

21%

A survey asked 700 people for their favorite genre of book. Find P(romance) as a %

182

A survey asked 700 people for their favorite genre of book. Of the people surveyed, ________ responded with a genre other than one of those listed.

1

Based on the simulation, _______ of the 6 cards are yellow.

B

Boris needs to buy a house for his dog. He can choose from four different styles (S1, S2, S3, or S4). Each style comes in red (R), yellow (Y), tan (T), or green (G).

B

Draw a tree diagram for choosing a vowel (a, e, i, o, u) and then a number (1 or 2).

1/12

Find the theoretical probability of the event when rolling a 12-sided die. P(6) is

1/6

Find the theoretical probability of the event when rolling a 12-sided die. P(less than 3) is

33/116

Five different names were put into a hat. A name is chosen 116 times and the name Maya is chosen 33 times. What is the experimental probability of the name Maya being chosen?

96

If 400 people were surveyed, about __________ people would say they like pencils.

more than

In the simulation, a boy is chosen 34 times, which is _____________ the number of times expected using theoretical probability.

the same as

In the simulation, the number of games Richard and Rakel will see is 32, which is ________________ the number of games expected using theoretical probability.

21

It is expected that a boy will raise the flag __________ times over 42 days of school.

108

Jessica records the number of winners at the Dunk-a-Teacher booth at the town fair as shown in the table. If there are 900 contestants on Monday, how many should Jessica expect to dunk a teacher?

125

Mason plays a game by flipping two fair coins. He wins the game if both coins land facing tails up. If Mason plays 500 times, how many times should he expect to win?

1/4

Ms. Ream is handing out wristbands as students enter the dance. There are 40 black, 20 yellow, 25 orange, and 15 purple wristbands. If McKenzie is handed a wristband, what is the probability the color is orange?

14%

P(1) written as a %

12%

P(2) written as a %

16%

P(3) written as a %

10%

P(4) written as a %

48%

P(5) written as a %

3/20

P(Mark and not HI) is

40%

P(black pens) to the nearest %

36%

P(blue pens) to the nearest %

1/2

P(greater than 4)

24%

P(pencils) to the nearest %

8/25

P(silver)

23/50

P(wood)

certain

Probability = 1

likely

Probability > 1/2

2/36

Rachel plays a game by rolling two number cubes with sides numbered 1 through 6. To win the game, the sum of the numbers facing up must be 11. What is the probability that Rachel will win the game?

A

Suppose that when the weather conditions are a certain way, it does not snow 40% of the time. Find a way to assign numbers to possible outcomes to simulate whether it does not snow on a day when the weather conditions are that way.

Certain

Sure to happen; having a probability of 1 or 100%

Experimental Probability

The RESULT of an experiment or simulation after a large number of trials.

32

The amount of games that Richard and Rakel are expected to see is

15%

The chance that all six flower bulbs grow is _______. (Write answer as a %)

43/96

The experimental probability of getting a head is

21/40

The experimental probability of getting heads is

3/20

The experimental probability of rolling a number greater than 10 is

1/9

The experimental probability of spinning a three and tossing a tail is

27/50

The experimental probability that a person selected at random is going to City B is

10%

The experimental probability that the next four birds are blue jays is _______. (Write answer as a %)

30%

The experimental probability that the player will make both free throws is _______. (Write answer as a %)

Probability

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

1/3

The probability of choosing a password with one B is

1/10

The probability of choosing e and 1 is

3/8

The probability of getting exactly one tail is

1/10

The probability of picking one red card and one blue card is

1/12

The probability of spinning a 1 and tossing a heads is

3/8

The probability of tossing exactly 1 head is

1/5

The relative frequency for the event "spin a 4" is

31/42

The relative frequency for the event "spin a number greater than or equal to 2" is

Sample Space

The set of all possible outcomes or results of an experiment. It is usually denoted using set notation, and the possible outcomes are listed as elements in the set.

2

The simulations show the boy winning all three games in ______ of the 10 trials.

1/4

The theoretical probability for the event "spin a 4" is

1/2

The theoretical probability of getting a head is

1/6

The theoretical probability of spinning a three and tossing a tail is

30

There are _________ possible ways to order a two-course meal.

Theoretical Probability

What is EXPECTED to happen based on the possible outcomes, assuming equally likely events.

5

You can order a two-course meal that includes Chips and Salsa as the appetizer _________ ways.

11

You win at least 3 of the 5 games in ______ of the trials.

Fundamental Counting Principle

if one event has m possible outcomes and a second independent event has n possible outcomes, then there are m x n total possible outcomes for the two events together.