Percents And Probability Worksheet With Answers - Lesson 12-19 Page 9
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49exPlOre!
cOntinued
step 3: Flip the coin 10 more times (now you have flipped the coin 30 times).
a. Add tallies to your chart for each additional head and tail.
b. Determine your experimental probability of the coin landing on heads with 30 flips
as you did in step 1b. Write the probability as a fraction and a decimal.
step 4: Repeat this process until you have flipped the coin 100 times. Stop after every 10 flips
to record your results and experimental probability of the coin landing on heads.
step 5: Find the theoretical probability of the coin landing on heads. How many heads would
you expect to get after 100 flips?
step 6: After which set of flips was the probability closest to 0.5?
step 7: Why do you think doing more trials makes the experimental probability closer to the
theoretical probability?
Kyle rolled a number cube 60 times. his results are shown in the table below.
examPle 2
number rolled
1
2
3
4
5
6
Frequency (number of times rolled)
8
12
6
15
4
15
a. Find Kyle’s experimental probability of rolling a 6.
b. Find Kyle’s experimental probability of not rolling a 6.
c. Find the theoretical probability of rolling a 6.
d. Find the theoretical probability of not rolling a 6.
number of times a 6 was rolled (15)
= 15 __
= 1 _
_________________________
s
a. P(6) =
olutions
60
4
number of trials (60)
number of times a 6 was not rolled (8 + 12 + 6 + 15 + 4)
= 45 __
= 3 _
______________________________________
b. P(not 6) =
60
4
number of trials (60)
number of favorable outcomes (1 → “6”)
= 1 _
____________________________________
c. P(6) =
6
number of possible outcomes (6 → “1, 2, 3, 4, 5 or 6”)
number of favorable outcomes (5 → “1, 2, 3, 4 or 5”)
= 5 _
____________________________________
d. P(not 6) =
6
number of possible outcomes (6 → “1, 2, 3, 4, 5 or 6”)
complements
P(6) and P(not 6) are called
of each other because together they make up all the possible
outcomes without repeating any outcomes. This means P(6) and P(not 6) sum to 1. You can find P(not 6)
by subtracting P(6) from 1.
1 _
P(6) =
6
1 _
5 _
P(not 6) = 1 −
=
6
6
Sometimes probabilities are written as decimals or percents. This is the same as rewriting a fraction as
a decimal or a percent.
79
Lesson 13 ~ Probability
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