Percents And Probability Worksheet With Answers - Lesson 12-19 Page 14
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49exPlOre!
cOntinued
step 4: Repeat steps 2 and 3 four more times to get five estimates for the number of beans originally
in the bag. Copy and complete the chart to record your information.
estimate of beans actually in the bag:
number of
total beans in
handful
tagged beans in
handful
tagged beans in handful
tagged beans in bag (Step 1)
_________________
____________________
handful
=
total beans in handful
total beans in bag (x)
____
____
=
x
sample 1
= _____
x
____
=
____
x
sample 2
= _____
x
____
____
x
=
sample 3
= _____
x
____
____
x
=
sample 4
= _____
x
____
____
x
=
sample 5
= _____
x
step 5: Find the average of your five estimates in the chart above. Do this by finding the sum of all
five estimates. Divide the sum by five (the number of estimates).
step 6: Count and record all of the beans in the bag (white and black beans). Compare your count with
your estimates and average.
step 7: What do you think would happen to the average if you used 100 samples (handfuls) to estimate
the actual number of beans in the bag?
examPle 1
Park rangers estimated the number of deer in
Wallowa state Park. The rangers tagged 20 deer in
campgrounds and near hiking trails. The following
week they recaptured 300 deer, 15 of which were
tagged. estimate the total number of deer in
Wallowa state Park.
s
Let x = total number of deer. Write a proportion using
olution
the number of tagged deer recaptured to the total
number of deer recaptured as one ratio.
number of tagged deer recaptured
number of tagged deer
= 15
= 20 __ x
________________________
________________
___
=
300
total number of deer recaptured
total number of deer
Use cross products to solve.
15x = 6000
x = 400
There are about 400 deer in Wallowa State Park.
84
Lesson 14 ~ Use Probability To Predict
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