Simple Probability
Theoretical vs. Experimental
Relative Frequency & Predicting Outcomes
Outcomes
Random
100

A six sided die is rolled.  What is the probability of landing on a 5?  (Fraction)

1/6 

100

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

1/2

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, blue was chosen 14, yellow was chosen 7 and green was chosen 4. 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 entrees are available?

12

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?  Write as a fraction and percent. 

11/24 or 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? (fraction)

1/4

200

The spinner shown is spun.  What is the theoretical probability that the spinner will land on green?

1/4

200

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

23/100 or 23%

200

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


6

200

What is the probability of selecting a spade from a standard deck of playing cards? 

1/4 or 25%

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? (fraction)

1/2

300

A standard die is rolled 20 times and the results were recorded.  What is the experimental probability of rolling a 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.

Approximately 110 owners.

300

Monique is picking out a new skateboard.  The board can be gray, black, dark 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 playing cards? (fraction and percent) 

1/13 or 8%

400

Using the spinner below, what is the relative frequency that it will land on a red or yellow? (fraction)

5/8

400

Juno randomly selected a card from a set of cards and replaces it.  She repeated the process 60 times and recorded the results.

Which experimental probability comes closest to the theoretical probability?



Green 27%

Blue 23%

400

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

Approximately 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 the table.  It contains 7 hearts, 6 diamonds, 4 clubs, and 2 spades.  A card is chosen at random, what is the probability that a club is chosen?

4/19 or 21%

500

If you roll a die, what is the probability that you will roll a 4 or lower?  

2/3

500

A standard die is rolled 20 times.  What is the experimental probability of rolling a 2?

3/20 or 15%

500

Five out of seven people surveyed use emoticons on their instant messenger.  Predict how many of the 1,105 students at Rogers Middle School use emoticons.

789 Students

500

Wendy is opening up an ice cream shop.  She has 4 different cone sizes, 5 different ice cream flavors and 6 different toppings.  How many different combinations does Wendy have?

120

500

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

Approximately 7.