When calculating the experimental probability, we are comparing the

number

of

times

the

event

o c c u r s

to the

number

of

trials .

P = \frac{Number of Times the Event Occurs}{Number of Trials}

Notice that this is very similar to the Probability Formula. Now, when rolling a dice, we have a total of six possible outcomes. The sum of the frequencies of each outcome is the

number

of

times

the

experiment

is

d o n e .

Let's then find this number by adding the values from the second row of the table.

10 + 4 + 8 + 11 + 11 + 6 = 50

Out of these, we rolled a

3

exactly

8

times,

which is the

number

of

times

the

event

o c c u r s .

Now we have enough information to calculate the experimental probability.

P = \frac{Times the Event Occurs}{Number of Trials}

SubstituteValues

Substitute values

P (rolling a 3) = \frac{8}{5 0}

ReduceFrac

$\frac{a}{b} = \frac{a / 2}{b / 2}$

P (rolling a 3) = \frac{4}{2 5}

CalcQuot

Calculate quotient

P (rolling a 3) = 0.16

WritePercent

Convert to percent

P (rolling a 3) = 16 %

The probability of rolling a

3

is

\frac{4}{2 5},

which can also be written as

0.16,

or

16 % .

Exercise