7th Grade Probability

Theoretical

100

Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the coin will land on heads and the spinner will land on the letter "A"?

1/8 or 0.125, or 12.5%

200

The classic wood carousel at Carousel Park in Hampton, VA has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?

1/2, or 0.50, or 50%

300

What is the probability of rolling two odd numbers in a row with a standard number cube?

1/4, or 0.25, or 25%

400

There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaces. A second marble is then taken out and not replaced. What is the probability both marbles that were taken out are red?

1/5, or 0.20, or 20%

500

Jarvonya spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?

1/25 or 0.04, or 4%

Experimental

100

Abbie makes 50% of her free throws.  Describe a simulation that could be used to predict her making both of her next 2 free throws?

Flip two coins and run do 10 trials

200

Lawson flipped a coin 10 times and the results are below

H  H  H T  T  H T H H T

How many times would you expect him to get tails if he flips the coin 50 times?

20

300

A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 16 E = 11 I = 29 O = 19 U = 25

11/100 or 0.11, or 11%

400

Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3

1/5, or 0.20, or 20%

500

A six-sided die is thrown 50 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3? Number on Die How Many Times it Landed on that Number 1 8 2 6 3 7 4 12 5 10 6 7

The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)

Counting Principle

100

You are trying to decide what to wear to school. You know you have a green pair of pants, a red pair, and a blue pair. You also have a brown shirt, a plaid shirt, and a yellow shirt. How many different outfit combinations can you make?

9

200

What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?

48 possible outcomes

300

Amiya and Keyshawn are candidates for class president of the 7th grade. Ajaye, Chishon, and Laura are candidates for vice president. What are all the possiblities?

Amiya/ Ajaye   Amiya /Chishon   Amiya /Laura

Keyshawn/ Ajaye   Keyshawn /Chishon   Keyshawn /Laura

400

Ms. French is packing for a trip. She packs a white blouse, a pink blouse, a blue blouse, and a green blouse. She also packs a black suit, a navy blue suit, and a gray suit. What is the probability that the first outfit she wears is the gray suit with a pink blouse?

1 out of 12

500

What is the probability of rolling three 4's in a row on a number cube?

1/216

Vocabulary

100

Define "theoretical probability."

It is the probability of what should occur.

200

Define "experimental probability."

The probability of what actually occurs.

300

Define sample space

All the possible outcomes of a compound event

400

Define "independent event."

When one event occurs and the item is replaced before the second event occurs.

500

Define complement the probability

The probability that an event does not occur.

How Likely is it?

100

How likely is it that a coin is flipped and lands on tails?

Equally likely 50%

200

How likely is it that a number cube is tossed and lands on 3?

Unlikely

300

Given tiles that contains the letters  PROBABILITY How likely is it that person draws 5 tiles without replacing and they are all vowels?

Impossible

400

How likely is it that two dice are tossed and the sum is greater than one?

Certain

500

What is the probability  that two dice are rolled and the sum is 7?

1/6 Unlikely