4.1 Theoretical and Experimental Probability

Theoretical and Experimental Probability

Unit 4, Lesson 1

I can find theoretical probabilities, experimental probabilities, and odds.

Unit 4, Lesson 1: Theoretical and Experimental Probability

4.1 Theoretical and Experimental Probability 

• probability

• experimental probability

• theoretical probability

• odds in favor

• odds against

probability

how likely something is to happen measured by the ratio of the favorable cases (number of ways it can happen) to the whole number of cases possible (total number of outcomes)

Multiple Choice

probability - how likely something is to happen measured by the ________ of the favorable cases (number of ways it can happen) to the whole number of cases possible (total number of outcomes)

• experiment

• math

• outcomes

• ratio

experimental probability

the ratio of the number of times an event actually happens to the number of times the experiment is done

Multiple Choice

experimental probability - the ratio of the number of times an event actually happens to the number of times the ___________ is done

• experiment

• ratio

• probability

• number

theoretical probability

the ratio of the number of favorable outcomes to the number of possible outcomes

Multiple Choice

______ _______ - the ratio of the number of favorable outcomes to the number of possible outcomes

• experimental probability

• theoretical probability

odds in favor vs odds against

comparing favorable outcomes and unfavorable outcomes

odds in favor

odds in favor of an event is the ratio of the number of favorable outcomes to the ratio of the number of unfavorable outcomes.

odds against

odds against an event is the ratio of the number of unfavorable outcomes to the ratio of the number of favorable outcomes

odds in favor vs odds against

comparing favorable outcomes and unfavorable outcomes

Theoretical Probability

A number cube (a dice) with the numbers 1 through 6 is rolled. Find the given probability.

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P (number < 2)​

You​ read this as, "Probability of a number less than 2."

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Multiple Choice

A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(number < 2)

• $$\frac{1}{6}$$  

• $$\frac{2}{6}$$  

• $$\frac{4}{6}$$  

• $$\frac{3}{6}$$  

Theoretical Probability

A number cube (a dice) with the numbers 1 through 6 is rolled. Find the given probability.

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P (number ≥ 3)​

You​ read this as, "Probability of a number greater than or equal to 3."

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Multiple Choice

A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(number $$\ge$$  3)

• $$\frac{4}{6}$$  

• $$\frac{1}{6}$$  

• $$\frac{2}{6}$$  

• $$\frac{5}{6}$$  

Theoretical Probability

A number cube (a dice) with the numbers 1 through 6 is rolled. Find the given probability.

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P (complement of 4)​

You​ read this as, "Probability of a complement of 4."

Wait, what's a complement? A complement is the exact opposite. So​, what is the probability of NOT rolling a 4?

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Multiple Choice

A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(complement of 4)

• $$\frac{4}{6}$$  

•   $$\frac{5}{6}$$  

• $$\frac{2}{6}$$  

• $$\frac{5}{6}$$  

Theoretical Probability

A multiple choice question has 5 possible answers. What are the odds in favor of guessing the right answer?

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Multiple Choice

A multiple-choice question has five possible answers. What are the odds in favor of guessing the right answer?

• 5:1

• 4:1

• 1:4

• 1:5