Theoretical and Experimental Probability

Theoretical Probability

​Probability is the fractional possibility of an event happening.

If I want to spin for an even number, the positive outcomes are ____, ____, and ____.

​2, 4 and 6!!!!!

Multiple Choice

What's the probability of spinning a number greater than 2?

• 2/6 or 1/3

• 4/6 or 2/3

• 5/6

• 1/6

Multiple Choice

What's the probability of spinning an odd number?

• 2/6 or 1/3

• 1/6

• 4/6 or 2/3

• 3/6 or 1/2

​Theoretical Probability of rolling a 1 is 1/6.

Multiple Choice

The theoretical probability of rolling an even number on a dice.

• 3/6

• 1/2

• 1/6

• 5/6

Multiple Choice

Use the spinner to determine the theoretical probability of the event.

Spinning a 7

• $$\frac{1}{8}$$

• $$\frac{7}{8}$$

• $$\frac{1}{7}$$

• $$\frac{1}{15}$$

Multiple Choice

You are playing a basketball board game. You determine the results of a play by drawing a card from a stack. The theoretical probability of drawing a "three-pointer" is $$\frac{3}{7}$$  and there are 70 cards in the stack.  How many of the cards represent three-pointers?

• 30

• 3

• 9

• 16

​The die was rolled 50 times.

A 6 appeared 23 times.

The Experimental Probability of rolling a 6 is 23/50.

Multiple Choice

Experimental Probability is:

• What will happen

• What should happen

• What I think happens

• What does happen

Multiple Choice

You completed an experiment where you rolled a dice 12 times and recorded your data in the table above. What is the experimental probability of rolling a 4?

• 2/6

• 1/6

• 1/12

• 5/12

Multiple Choice

The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?

Multiple Choice

Tammy rolled a die five times.

Here is what she got on her five rolls: 1, 3, 3, 4, & 4

Find the experimental probability:

P(3) =

• 3/5

• 1/6

• 2/5

• 1/3

Multiple Choice

Theoretical Probability is:

• What will happen

• What should happen

• What I want to happen

• What does happen

Multiple Choice

What is the theoretical probability of the spinner landing on yellow?

• $$\frac{1}{3}$$

• $$\frac{1}{4}$$

• $$\frac{1}{2}$$

• $$\frac{2}{3}$$

Multiple Choice

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

• $$\frac{1}{8}$$

• $$\frac{7}{8}$$

• 1

• 7

Multiple Choice

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

• 1

• 2

• 3

• 4

• 5

Multiple Choice

Jill rolled a "five" fifteen times out of twenty rolls on a dice.

What is the experimental probability as a SIMPLIFIED FRACTION!

• 3/7

• 3/6

• 3/5

• 3/4

Multiple Choice

Tammy rolled a 6-sided die five times.

Here is what she got on her five rolls: 1, 3, 3, 4, & 4

Find the theoretical probability of rolling a 3:

• 3/5

• 1/6

• 2/5

• 1/3

Multiple Choice

The 12-section spinner was spun 20 times and landed on blue 8 times. Is this more or less or equal to the theoretical probability of spinning blue?

• equal

• less

• more

Multiple Choice

Experimental Probability is:

• What Will happen

• What actually happens

• What should happen

• What I think Happens