Understanding Theoretical Probability

​Lesson 7.2

Understand Theoretical Probability​

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Definitions:

​Theoretical Probability: What we expect to happen in an event. The probability of each outcome occurring.

​ Ex: The theoretical probability of rolling a dice and landing on a 2 is 1 in 6 because there is 1 favorable outcome out of the total number of outcomes.

Favorable Outcome: The outcome you are looking for.

Ex: If you are trying to find the probability of flipping a coin and landing on heads, your favorable outcome is heads.​

Subject | Subject

What does it mean to have equal theoretical probability? Do the following have equal theoretical probability?

Flipping a coin:

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​Rolling a dice:

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​Pull marbles from a bag:

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​Spinner with 8 different equal sides:

Subject | Subject

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​Monique rolls a number cube labeled 1 - 6.

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1. Find P(rolling a 4)

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2. Find P(​rolling an odd number)

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3. If Monique rolls the dice 12 times, how many times should it land on a number greater than 4?​

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​In a game, the probability of guessing the correct door is 1 in 5. If there are 100 contestants, how many should win the game?

Multiple Choice

You are flipping a coin. What is the theoretical probability it will land on heads?

• 1/1

• 2/1

• 1/2

• 100%

Multiple Choice

If you are flipping a coin 100 times, how many times should it land on heads?

• 100 times

• 25 times

• 0 times

• 50 times

Multiple Choice

In a game there is a 1 in 5 chance of winning a game. If there are 50 contestants, how many do you expect to win?

• 50

• 25

• 20

• 10

​​Conclusion: Write two complete sentences about what you learned.