Probability Big Ideas

Is rolling a even number on a number cube an outcome or event?

• It is a outcome because it has several outcomes.

• It is a event because it has several outcomes

• It is an outcome because there can only be one result.

• It is a event because there's only one result.

What are the possible outcomes of randomly choosing one of the tiles shown?

• 9 possible outcomes

• 1,2,3,4,5,6,7,8,9

• There are only 5 possible outcomes because you have to choose the odd numbers.

You randomly choose one of the tiles shown above. Find the outcomes of choosing a odd number.

• 2, 4, 6, 8

• 5 possible outcomes

• 1, 3, 5, 7, 9

• 4 possible outcomes

Describe how a favorable outcome and outcome are different.

• They're not different, they're the same.

• An outcome is the result of a random event ; A favorable outcome is the result of an experiment.

• For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. ... If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6).

• An outcome is the result of a experiment, a favorable event is the result of a random event

Can the probability of an event be 1.5? Explain.

• no; Probabilities are between 0 and 1, including 0 and 1.

• no; Probabilities are between 0 and 1, not including 0 or 1.

• yes; A probability of 1.5 represents a 150% chance, or very certain that the event will occur.

• yes; A probability of 1.5 represents a 1.5% chance, or very unlikely that the event will occur.

Describe the likelihood of the event given its probability.

Your soccer team wins 3/4 of the time.

The likelihood that your soccer team wins its next game is

• equally likely

• likely

• unlikely

• certain

Describe the likelihood of the event given its probability.

The probability that the sun rises tomorrow is 1.

• The likelihood of the sun rising tomorrow is certain.

• The likelihood of the sun rising tomorrow is equally likely.

• The likelihood of the sun rising tomorrow is unlikely.

• The likelihood of the sun rising tomorrow is likely

Why would you survey a sample instead of a population?

• Samples are larger than populations.

• Samples are easier to obtain than populations.

• Samples provide more specific data than populations.

• Samples offer less options than populations.

Determine whether the conclusion is valid. Explain.

You want to determine the number of students in your school who have visited a science museum. You survey 50 students at random. Twenty have visited a science museum, and thirty have not. So, you conclude that 40% of the students in your school have visited a science museum.

• no; The sample is representative of the population, selected at random, and too large. So, the sample is unbiased and the conclusion is not valid.

• no; The sample is not representative of the population because students who are older have had more opportunities to visit a science museum. So, the sample is biased and the conclusion is not valid.

• yes; The sample is representative of a specific group, selected based on age, and small enough to provide accurate data. So, the sample is biased and the conclusion is valid.

• yes; The sample is representative of the population, selected at random, and large enough to provide accurate data. So, the sample is unbiased and the conclusion is valid.

Which sample is better for making a prediction? Explain.

• Sample B because it is a larger sample.

• Sample A because the sample is more random.

• Sample A because it is a smaller sample.

• Sample B because you can ask more students different questions.