# How do you calculate experimental probability?

Jul 4, 2018

You carry out an experiment and record the results. You then can use these results to calculate the experimental probabilities.

If you roll a die 30 times and get

3 ones
3 twos
1 threes
10 fours
3 fives
6 sixes

The theoretical probability of rolling a number is $\frac{1}{6}$ so you would say that you might expect 5 ones in 30 rolls. The experimental probability is

Ones $\frac{3}{30} = \frac{1}{10}$

Twos $\frac{3}{30} = \frac{1}{10}$

Threes $\frac{1}{30}$

Fours $\frac{10}{30} = \frac{1}{3}$

Fives $\frac{3}{30} = \frac{1}{10}$

Sixes $\frac{6}{30} = \frac{1}{5}$