Probability simple and compound

What is the definition of "Probability"?

• A situation that involves probability

• Possible result of a probability experiment

• The likelihood something will happen

• The set of outcomes of an experiment

Answer explanation

Probability is defined as the likelihood something will happen. This choice accurately captures the essence of probability, distinguishing it from other options that describe related concepts but not the definition itself.

Tags

CCSS.7.SP.C.5

How is theoretical probability calculated?

• By dividing the number of favorable outcomes by the total number of possible outcomes.

• By conducting an experiment and recording the outcomes.

• By multiplying the probabilities of individual events.

Answer explanation

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This method provides a mathematical way to determine the likelihood of an event occurring.

Tags

CCSS.7.SP.C.7A

What does "Sample Space" mean in probability?

• A situation that involves probability

• The set of all possible outcomes of an experiment

• A comparison of favorable and unfavorable outcomes

• The likelihood something will happen

Answer explanation

The correct choice, 'The set of all possible outcomes of an experiment', defines the sample space in probability. It encompasses every potential result that can occur during a given experiment.

What is experimental probability?

• The probability based on the number of favorable outcomes divided by the total number of possible outcomes.

• The probability calculated by conducting an experiment and recording the outcomes.

• The probability of a single event occurring.

Answer explanation

Experimental probability is determined by conducting an experiment and recording the outcomes. This approach provides a practical way to estimate probabilities based on actual results, making the second choice the correct answer.

What does "Event" refer to in probability?

• A situation that involves probability

• Possible result of a probability experiment

• A comparison of favorable and unfavorable outcomes

• The set of all possible outcomes of an experiment

Answer explanation

In probability, an "Event" refers to a specific outcome or a set of outcomes from a probability experiment. Thus, the correct choice is "Possible result of a probability experiment," as it directly defines what an event is.

What is an "Outcome" in probability terms?

• A situation that involves probability

• The likelihood something will happen

• A comparison of favorable and unfavorable outcomes

• The set of outcomes of an experiment

Answer explanation

In probability, an 'Outcome' refers to the specific result of an experiment. The correct choice, 'The set of outcomes of an experiment,' encompasses all possible results, making it the most accurate definition.

What is theoretical probability?

• The probability based on reasoning and calculations without conducting an experiment.

• The probability based on the number of times an event occurs.

• The probability of multiple events occurring together.

Answer explanation

Theoretical probability is determined through reasoning and calculations, rather than through experimental data. It estimates the likelihood of an event based on known possible outcomes.

What is the total outcomes when you toss 4 coins

• 4

• 8

• 12

• 16

Answer explanation

4 coin and 2 outcomes for each coin

2x2x2x2

4x4

16 total outcomes

You have 5 shirts, 4 pairs of pants, and 6 pairs of shoes. How many outfits can you make (total outcomes)?

• 20

• 120

• 1/20

• 0.05

Answer explanation

5 shirts and 4 pants and 6 shoes

5x4x6

20x6

120 total outcomes for outfits

Cade has a spinner with 8 equal sections. The sections are numbered 1-8. What is the probability of the arrows landing on a number greater than 2? (express as a decimal)

Answer explanation

1 2 3 4 5 6 7 8

1 2 3 4 5 6 numbers bigger than 2

6/8 = 3/4

3/4 x 25 = 75/100 = 0.75

Tags

CCSS.7.SP.C.7B