Lesson 13.1- Probability

Basic Probability

100

You flip a coin and roll a number cube. How many possible outcomes are in the sample space? Make a tree diagram to list the possible outcomes.

12 possible outcomes

200

Fill in the blank: The __________ __ __ ______ is a measure of the likelihood, or chance, that the event will occur.

probability of an event

300

Find the number of possible outcomes: A bag contains four red cards numbered 1-4, 4 white cards numbered 1-4, and 4 black cards numbered 1-4. You choose a card at random.

12 outcomes

400

A spinner has the numbers: 4, 30, 6, 9,12, 15, 18, 21,27 and 24. What is the probability that the spinner stops on a multiple of 3?

9/10

500

A spinner has the numbers: 4, 30, 6, 9,12, 15, 18, 21,27 and 24. You spin the spinner 10 times. It stops on an even number 6 times. What is the experimental probability of stopping on an even number?

6 / 10

Theoretical Probability

100

You toss a coin and roll a number cube. What is the probability that the coin shows tails and the number cube shows 5?

1/10

200

You and your friends have designed tees with emblems, and you are selling the tees to raise money. You have 10 green tees with gold emblems, 8 greens tees with pink emblems, 6 red tees with gold emblems, and 6 red tees with pink emblems. A student chooses a tee at random. What is the probability that the student chooses green pants with a pink emblem?

none.

300

How is the probability of an event A written as?

P(A)

400

You and your friends have designed tees with emblems, and you are selling the tees to raise money. You have 10 green tees with gold emblems, 8 greens tees with pink emblems, 6 red tees with gold emblems, and 6 red tees with pink emblems. A student chooses a tee at random. What is the probability that the student chooses a red tee?

You and your friend have a total of 30 tees, so there are 30 possible outcomes. Of all the tees, 12 tees are red. There are 12 favorable outcomes. number of red tees / total # of tees = 2/5

500

What is the formula for finding the theoretical probability?

number of favorable outcomes / total number of outcomes

Experimental Probability

100

What is experimental probability based on?

the repeated trials of an experiment

200

Each section of a spinner is 1/4. There are 4 colors, red, blue green and gold. For which color is the experimental probability same as the theoretical probability? spinner results: red=5, green=9, blue=3, yellow=3

Red, because 5/20=1/4

300

What is the formula for experimental probability?

number of successes / number of trials

400

OPEN ENDED: Describe a real world event whose probability is 0. Describe another real world event whose probability is 1.

rolling a standard number cube and getting a 0, flipping a coin and getting heads/tails

500

Each section of a spinner is 1/4. There are 4 colors, red, blue green and gold. The experimental probability are as follows: Red=5, green=9, blue=3, yellow=3. For what color is the experimental probability of stopping on the color greater than the theoretical probability?

green, because 5 < 9

Odds

100

What is the formula for: Odds in favor Odds against

odds in favor: number of favorable outcomes / number of unfavorable outcomes odds against: number of unfavorable outcomes / number of favorable outcomes

200

There is a spinner with four colors: red, green, yellow, and blue. Find the ODDS AGAINST stopping on green.

3 / 1 OR 3:1

300

The odds in favor of an event are 5 : 8. What are the odds against the event?

8 : 5

400

A spinner has the numbers: 4, 30, 6, 9,12, 15, 18, 21,27 and 24. What are the odds in favor of stopping on a multiple of four?

3/7 or 3 : 7

500

A spinner has the numbers: 4, 30, 6, 9,12, 15, 18, 21,27 and 24. Describe and correct the error in finding the odds in favor of stopping on a multiple of three. number of favorable outcomes / total number of outcomes = 2/10 = 1/5

there are 3 favorable outcomes, not 2. 3/10 is the correct answer

Vocabulary

100

Complete the sentence: a number that describes the likelihood of an event is the _______ of the event.

probability

200

Complete the sentence: A possible result of an experiment is an _________.

outcome

300

Complete the sentence: A(n) ______ is an outcome or collection of outcomes, such as rolling n odd number.

event

400

The set of all possible outcomes is called a(n) __________ _______.

sample space

500

What is the difference between theoretical probability and experimental probability?

Experimental probability is based on trials, while theoretical probability are based on likely outcomes.