2. Experimental and Theoretical Probability - 7. Probability - Big Ideas Math: Modeling Real Life, Grade 7

Experimental probability of an event is the number of times the event occurs divided by the total number of trials.

4/25, 0.16 or 16 %

Practice makes perfect

When calculating the experimental probability, we are comparing the number of times the event occurs to the number of trials. P=Number of Times the Event Occurs/Number of TrialsNotice 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 done. 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 occurs. Now we have enough information to calculate the experimental probability.

P=Times the Event Occurs/Number of Trials

SubstituteValues

Substitute values

P(rolling a 3)=8/50

ReduceFrac

a/b=.a /2./.b /2.

P(rolling a 3)=4/25

CalcQuot

Calculate quotient

P(rolling a 3)=0.16

WritePercent

Convert to percent