**Using experimental probability to make predictions worksheet :**

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

1. The table shows the number of necklaces sold in three sizes and two different metals by a jeweler in January 2017. If had sold 100 necklaces in February 2017, about how many 20-inch gold necklaces would he have sold ?

2. The table given below shows the number of male and female patients that range in ages from 10 years old to 50 years old having had by a dentist in the year 2015. If the dentist had 600 patients in the year 2016, about how many female patients in the age range 22–39 can be expected ?

**Problem 1 : **

The table shows the number of necklaces sold in three sizes and two different metals by a jeweler in January 2017. If had sold 100 necklaces in February 2017, about how many 20-inch gold necklaces would he have sold ?

**Solution : **

**Step 1 : **

**Since we want to make predictions for 20-inch gold necklaces, first we have to find experimental probability for 20-inch gold necklaces from the given data. **

Find experimental probability for 20-inch gold necklaces.

Total no. of necklaces is

= 12 + 16 + 5 + 22 + 8 + 12

= 75

**Step 2 : **

Find the no. of 20-inch gold necklaces.

No. of 20-inch gold necklaces = 12.

**Step 3 : **

Find the probability.

Experimental probability = 12/75

Simplify.

Experimental probability = 4/25

**Step 4 : **

Now make prediction for 20-inch gold necklaces in the total of 100 necklaces sold in Feb 2017.

Multiply the experimental probability and the total number of necklaces sold in Feb.

= (4/25) x 100

Simplify.

= 4 x 4

= 16

Hence, he would have sold sixteen 20-inch gold necklaces in Feb 2017.

**Problem 2 : **

The table given below shows the number of male and female patients that range in ages from 10 years old to 50 years old having had by a dentist in the year 2015. If the dentist had 600 patients in the year 2016, about how many female patients in the age range 22–39 can be expected ?

**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

**Step 4 : **

Now make prediction for female patients in the age range 22–39.

Multiply the experimental probability and the total number of patients in the year 2016.

= (1/8) x 600

= 600/8

Simplify

= 75

In the year, 75 female patients in the age range 22–39 can be expected.

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