Simple Probability
Theoretical vs. Experimental
Relative Frequency and predicting outcomes
Outcomes
Random
100

A six sided die is rolled, what is the probability of landing on a 5? 

1/6 or 17%

100

A fair coin is flipped.  What is the theoretical probability that it will land on heads?

1/2 or 50%

100

A jar contains red, green, blue, and yellow marbles.  A marble is chosen from the jar and replaced 30 times.  Red was chosen 15 times, blue was chosen 14 times, yellow was chosen 7 times and green was chosen 4 times.  What is the relative frequency of choosing a green marble? 

2/15 or 13%
100

A restaurant offers 3 different types of pasta with 4 different types of sauce.  How many different meals are available?  

12 options

100

A box contains 6 green markers, 11 red markers, and 7 orange markers.  Without looking you pick a marker.  What is the probability you pick a red marker.  Give answer as a fraction and percent. 

11/24 46%

200

A bag contains 6 red marbles, 4 green marbles, 4 blue marbles and 2 white marbles.  What is the probability of choosing a green marble? 

1/4 or 25%

200

A spinner is divided into 4 equal sections:  red, blue, green or yellow.  What is the theoretical probability that it will land on green?  

25% or 1/4

200

A spinner is divided into 4 equal sections.  Find the relative frequency of landing on section D?

Section           A          B        C          D

Frequency       27       40       10        23

23/100 or 23%

200

Sault is putting together his lunch.  He needs to pick a sandwich and a side.  He can't decide whether to have a tuna sandwich, an egg salad sandwich or a peanut butter sandwich.  He can take a kiwi, an orange or a grapefruit as a side.  Draw a tree diagram to show different combinations.  How many total outcomes?  

9

200

Make a tree diagram to find how many different backpacks can be made if they come in nylon or leather and colors red, green or black.  

6

300

A fair coin is tossed 5 times and each time it lands on tails.  What is the theoretical probability that it will land on tails after the next toss?

1/2 or 50%

300

A number cube with 6 sides (1-6) is rolled 20 times.  The outcome of the experiment is shown below.  What is the experimental probability of rolling a 5?

5, 2, 3, 5, 1, 5, 6, 2, 2, 3, 1, 3, 6, 1, 6, 3, 4, 4, 1, 5

1/5 or 20%

300

43% of people said they trained their cat not to climb on furniture.  Out of 255 cat owners, predict how many owners trained their cat not to climb on furniture. 

About 110 

300

Monique is picking out a new skateboard.  The board can be gray, black, brown, tan or white.  The wheels can be pink, yellow, orange, green or purple.  How many different combinations does Monique have to choose from? 

25

300

What is the probability of picking a Queen from a standard deck of cards?  Write as a fraction 

4/52  1/13 

400

Using a spinner that is divided into 4 sections:  red, blue, green and yellow, what is the relative frequency that it will land on red or yellow?

Color                Frequency

red                   7

yellow               3

green                4

purple                2

5/8 or 62.5% or  63%

400

A number cube with sides 1-6 is rolled 20 times.  The outcome of the experiment is shown below.  What is the experimental probability of rolling a 5?  

5, 2, 3, 5, 1, 5, 6, 2, 2, 3, 1, 3, 6, 1, 6, 3, 4, 4, 1, 5


3/20 or 15%

400

How students spend time with their family

Dinner - 34%

TV - 20%

Talking - 14%

Sports - 14%

Taking Walks - 4%

Other - 14%

Out of 515 students, about how many spend time with their family at dinner? 

about 175 students

400

A Bonny's Bagels you can choose from 5 different types of bagels, 4 different types of spreads, and 4 different toppings.  How many bagel combinations are there?  

80

400

A shuffled deck of cards is placed face-down on a table.  It contains 7 hearts, 6 diamonds, 4 clubs, and 2 spaces.  A card is chosen at random.  What is the probability that a club was chosen?  

4/19 21%

500

Two dice are rolled.  If we take the sum of the two dice, what is the probability that we will roll a sum of 5? 

1/9   or 11%

500

Juno randomly selects a card from a set f cards and replaces it.  She repeated this process 60 times.  The results are shown below:

Color             Green      Red     Yellow     Blue

Frequency       16           10       20          14


Which experimental probability comes closest to the theoretical probability?

Green and Blue 

500

5 out of 7 people surveyed use emojis on their texts.  Predict how many of the 1,105 students at RMS use emojis.  

About 789 students

500

Wendy is opening up an ice cream shop.  She has 4 different size cones, 5 different ice creams and 6 different toppings.  How many different combinations does Wendy offer?  

120

500

The black cat baseball team has a 73% win percentage.  If they play 25 games, about how many will they lose?  

7 games