**Calculating experimental probability worksheet :**

Worksheet on calculating experimental probability is much useful to the students who would like to practice solving real world problems on probability.

The formula given below can be used to find experimental probability of an event.

1. Martin has a bag of marbles. He removed one marble at random, recorded the color and then placed it back in the bag. He repeated this process several times and recorded his results in the table. Find the experimental probability of drawing each color.

2. A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan’s spins. Find the experimental probability of landing on each color.

3. A dentist has 400 male and female patients that range in ages from 10 years old to 50 years old and up as shown in the table. What is the experimental probability that the next patient will be female and in the age range 22–39 ?

**Problem 1 : **

Martin has a bag of marbles. He removed one marble at random, recorded the color and then placed it back in the bag. He repeated this process several times and recorded his results in the table. Find the experimental probability of drawing each color.

**Solution : **

**Step 1 : **

Find the total no. of trials.

Total number of trials = 12 + 10 + 15 + 13 = 50

**Step 2 : **

Find probability for each color.

**Red :**

Frequency / Total no. of trials = 12/50 = 6/25

**Blue :**

Frequency / Total no. of trials = 10/50 = 1/5

**Green :**

Frequency / Total no. of trials = 15/50 = 3/10

**Yellow :**

Frequency / Total no. of trials = 13/50

**Problem 2 : **

A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan’s spins. Find the experimental probability of landing on each color.

**Solution : **

**Step 1 : **

Find the total no. of trials.

Total number of trials = 10 + 14 + 6 = 30

**Step 2 : **

Find probability for each color.

**Red :**

Frequency / Total no. of trials = 10/30 = 1/3

**Yellow :**

Frequency / Total no. of trials = 14/30 = 7/15

**Blue :**

Frequency / Total no. of trials = 6/30 = 1/5

**Problem 3 : **

A dentist has 400 male and female patients that range in ages from 10 years old to 50 years old and up as shown in the table. What is the experimental probability that the next patient will be female and in the age range 22–39 ?

**Solution : **

**Step 1 : **

Find the total no. of patients.

Total no. of patients is

= 44 + 66 + 32 + 53 + 36 + 50 + 45 + 74

= 400

**Step 2 : **

Find the no. of female patients in the age range 22 - 39.

No. of female patients in the age range 22 - 39 = 50

**Step 3 : **

Find the probability.

Experimental probability = 50/400

Simplify.

Experimental probability = 1/8

After having gone through the stuff given above, we hope that the students would have understood "Calculating experimental probability worksheet".

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