Theoretical and Experimental Probability

What is theoretical probability?

• The probability of what outcome should occur if an experiment was to be conducted based on the possibilities of outcomes and the total outcomes that can occur.

• The probability of what outcome actually occurred once an actual experiment was conducted based on the data recorded and the number of trials.

What is experimental probability?

• The probability of what outcome should occur if an experiment was to be conducted based on the possibilities of outcomes and the total outcomes that can occur.

• The probability of what outcome actually occurred once an actual experiment was conducted based on the data recorded and the number of trials.

A dice was thrown 10 times with the following outcomes:

1 was rolled 3 times
2 was rolled 1 time
3 was rolled 2 times
4 was rolled 0 times
5 was rolled 2 times
6 was rolled 2 times

What is the theoretical probability of rolling a 3?

•  $\frac{3}{10}$  

•  $\frac{2}{10}=\frac{1}{5}$  

•  $\frac{2}{6}=\frac{1}{3}$  

•  $\frac{1}{6}$  

A dice was thrown 10 times with the following outcomes:

1 was rolled 3 times
2 was rolled 1 time
3 was rolled 2 times
4 was rolled 0 times
5 was rolled 2 times
6 was rolled 2 times

What is the theoretical probability of rolling a 5?

•  $\frac{1}{6}$  

•  $\frac{2}{6}=\frac{1}{3}$  

•  $\frac{2}{10}=\frac{1}{5}$  

•  $\frac{5}{10}=\frac{1}{2}$  

A dice was thrown 10 times with the following outcomes:

1 was rolled 3 times
2 was rolled 1 time
3 was rolled 2 times
4 was rolled 0 times
5 was rolled 2 times
6 was rolled 2 times

What is the theoretical probability of rolling an even number?

•  $\frac{1}{6}$  

•  $\frac{2}{6}=\frac{1}{3}$  

•  $\frac{3}{10}$  

•  $\frac{3}{6}=\frac{1}{2}$  

A dice was thrown 10 times with the following outcomes:

1 was rolled 3 times
2 was rolled 1 time
3 was rolled 2 times
4 was rolled 0 times
5 was rolled 2 times
6 was rolled 2 times

What is the experimental probability of rolling a 4?

•  $\frac{1}{6}$  

•  $\frac{0}{10}=0$  

•  $\frac{1}{10}$  

•  $\frac{2}{6}=\frac{1}{3}$  

A dice was thrown 10 times with the following outcomes:

1 was rolled 3 times
2 was rolled 1 time
3 was rolled 2 times
4 was rolled 0 times
5 was rolled 2 times
6 was rolled 2 times

What is the experimental probability of rolling a 3?

•  $\frac{1}{6}$  

•  $\frac{2}{10}=\frac{1}{5}$  

•  $\frac{1}{10}$  

•  $\frac{2}{6}=\frac{1}{3}$  

A dice was thrown 10 times with the following outcomes:

1 was rolled 3 times
2 was rolled 1 time
3 was rolled 2 times
4 was rolled 0 times
5 was rolled 2 times
6 was rolled 2 times

What is the experimental probability of rolling an odd?

•  $\frac{1}{6}$  

•  $\frac{3}{10}$  

•  $\frac{7}{10}$  

•  $\frac{3}{6}=\frac{1}{2}$  

A number color spinner was spun 20 times:

1 (Yellow) was spun 3 times
2 (Red) was spun 1 time
3 (Aqua) was spun 4 times
4 (Red) was spun 2 times
5 (Blue) was spun 0 times
6 (Aqua) was spun 3 times
7 (Blue) was spun 5 times
8 (Red) was spun 2 times

What is the theoretical probability of spinning the color aqua?

•  $\frac{2}{8}=\frac{1}{4}$  

•  $\frac{4}{20}=\frac{1}{5}$  

•  $\frac{4}{8}=\frac{1}{2}$  

•  $\frac{2}{20}=\frac{1}{10}$  

A number color spinner was spun 20 times:

1 (Yellow) was spun 3 times
2 (Red) was spun 1 time
3 (Aqua) was spun 4 times
4 (Red) was spun 2 times
5 (Blue) was spun 0 times
6 (Aqua) was spun 3 times
7 (Blue) was spun 5 times
8 (Red) was spun 2 times

What is the theoretical probability of spinning the color red?

•  $\frac{1}{8}$  

•  $\frac{3}{20}$  

•  $\frac{1}{20}$  

•  $\frac{3}{8}$