Likelihood
Fractions, Decimals, and Percent
Theoretical Probability
Experimental Probability
Key Ideas
100

Describe the likelihood of rolling a 9 on a standard die.

Impossible

100

Express 1/4 as a decimal AND percent

0.25 and 25%

100

What is the theoretical probability the day of the week (chose at random) being Friday?  Answer as a simplified fraction.

1/7

100

Find the experimental probability of flipping a coin and it landing on heads if the coin is flipped 25 times, resulting in 10 tails and 15 heads.

Express answer as a simplified fraction.

3/5

100

# of favorable outcomes

____________________

# of possible outcomes


Which type of probability does this describe?

Theoretical

200

The likelihood scale ranges from ______ (lowest probability) to ________ (highest probability).

0 to 1 (in decimal/fraction form)

OR

0% to 100%

200

Express 80% as a decimal and a simplified fraction.

0.8 AND 4/5

200

A bag contains 50 marbles, 28 red ones and 22 blue ones. A marble is picked at random from the bag. What is the theoretical probability of picking a red marble?

Express answer as a simplified fraction. 

14/25

200

Find the experimental probability of rolling a six with a die given that when it was rolled 300 times, a six occurred 54 times.

Express answer as a simplified fraction, decimal, and percent.

9/50, 0.18, 18%

200

Define probability.

The likelihood/chance that an event will happen

300

What likelihood correlates with a 1/2 probability?

As likely as not 

OR

Equally likely

300

Express 3/8 as a decimal and percent (do NOT round)

0.375 AND 37.5%

300

In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the probability that the selected student is in art club?

Express answer as a simplified fraction, decimal, and percent.

3/10, 0.3, 30%

300

Find the experimental probability of rolling an odd number with a die if an odd number occurred 33 times when the die was rolled 60 times. 

Express answer as a simplified fraction, decimal, and percent.

11/20, 0.55, 55%

300

What is the difference between Theoretical and Experimental Probability?

Theoretical: What SHOULD happen, based on event


Experimental: What ACTUALLY DOES happen, based on results

400

Describe the likelihood of the day of the week ending in a "y."

Certain

400

Express 7/16 as a decimal and a percent (do NOT round!)

0.4375  AND 43.75%

400

What is the theoretical probability of a day of the week (chose at random) being a weekend day?

Answer as a simplified fraction, decimal (rounded to tenth), and percent (rounded to tenth).

2/7

0.3 (rounded)

28.6% (rounded)


from 0.28571.....

400

Each time Claude shuffled a pack of cards before a game, he recorded the suit of the top card of the pack His results for 140 games were 34 Hearts, 36 Diamonds, 38 Spades and 32 Clubs. 

What is the experimental probability of getting a club?

Express answer as a simplified fraction.

8/35

400

If I flip a coin 260 times, how many times would I expect it to land on heads?

130 times

500

Describe the likelihood of the day of the week starting with an "S."

Unlikely

500

Express 5/21 as a decimal and percent (Both rounded to the nearest TENTH)

0.2 rounded


23.8% rounded


0.2380952......

500

Liz flips a coin 150 times.  It lands on heads 80 times and it lands on tails 70 times.  What is the theoretical probability of it landing on tails?  

Express answer as a simplified fraction, decimal, and percent.

1/2, 0.5, 50%

500

Liz flips a coin 150 times.  It lands on heads 80 times and it lands on tails 70 times.  What is the experimental probability of it landing on tails?  

Express answer as a simplified fraction, decimal (rounded to the nearest tenth), and percent (rounded to the nearest tenth)

7/15, 0.5, 46.7%



From

0.4666666666...

500

Which event has a higher probability - rolling a prime number on a standard die OR flipping heads on a coin?

*Must show both probabilities for credit.

*Rolling a prime number: 2/3 or 66.7% (rounded)

Heads: 1/2 or 50%