Elementary Math Questions

Probability Lesson 3
Learning Target: Students will be able to use the experimental probability to make predictions
about the frequency of an event.
Part 1: Using theoretical and experimental probability for predictions
a. Jill has a bag of 48 marbles. The probability of pulling out a yellow marble is 5/6. How
many yellow marbles are in the bag?
??????
????? ??????? ∙ =
??????
????? ???????
b. Ivan’s batting average is 0.3. If he is up to bat 70 times, how many times can the coach
expect him to hit the ball?
ℎ???
?? ??? ∙ =
ℎ???
?? ???
c. The spinner lands on red 5/8 times. How many times can we expect the spinner to land
on red if the spinner is spun 96 times?
???
?????
∙ =
???
?????
d. A bag holds red, white, and blue marbles. Alison pulls one marble from the bag and
records the results. Then she returns the marble to the bag and pulls another. The table
shows her results.
Color Outcomes
Red 22
White 48
Blue 30
Based on the outcomes, enter the number of times Alison can expect to pull a white
marble if Allison pulls out a marble 25 times.
?ℎ???
?????? ∙ =
?ℎ???
??????
e. It rains 2 out of 12 days in March. If the trend continues, how many days will it rain in
April. April has 30 days.

????
????
????
???? ∙ =
?ℎ???
??????
Part 2: Law of Large Numbers
a. Multiple Choice: The theoretical probability of a coin landing heads up is 1
2
. She flips a fair
coin 4 times, but it lands facing up tails up 3 ??? ?? 4 ?????. Which statements best explains
why the theoretical probability is different than her experimental probability?
A. They most likely differ because of the kind of coin is used.
B. They most likely differ because the coin had tails on both sides.
C. They most likely differ because 1
2
??? 3
4
have different denominators.
D. They most likely differ because the sample size is too small.
b. Multiple Choice: The theoretical probability of rolling a 5 on a 6-sided dice is 1
6
. She rolls the
dice 4 times, but it lands on “5” 2 out of 4 times. Which statements best explains why the
theoretical probability is different than her experimental probability?
A. They most likely differ because 1
6
??? 2
4
have different denominators.
B. They most likely because of the kind of dice is used.
C. They most likely differ because the dice had “5” on 3 sides.
D. They most likely differ because the sample size is too small.
Part 3: Convert Between Equivalent Forms Review
Fraction (Simplest Form) Decimal Percent % Picture or Words
a.
9
5
b. 0.16
c. 9%
d.
Part 4: Terminating vs. Repeating Decimals Review
Without using long division, decide which fractions will terminate and which will repeat. (Hint:
Look at the prime factorization of the denominator. Prime numbers are 2, 3, 5, 7, 11, 13, 17…)
7
12
4
21
7
40
5
16
Part 5: What number can replace x to make the equation true.
a. 0.18 +
3
10
=
?
100
+
30
100
b. 3.05 −
18
100
=
?
100
−
18
100
Part 6: Fractions to decimals or percent
a. Ivan has an 8 ounces soda. He drinks
5 ounces of the soda. What percent
of the soda is left?
b. What is the decimal form of 4
15
?
Probability Lesson 3 Homework
1. Tim will spin the spinner to the right once. On which color is the
arrow most likely to stop? Explain.
The spinner will most likely land on ___________________________
because the probability of _____________________ is _________
which is greater than ___________________________.
2. Crystal used a spinner and recorded where the arrow landed each time in the table below.
What is the experimental probability of the arrow landing on Green?
Color Frequency
Green 6
Blue 4
Purple 5
Orange 2
Brown 3
?(?????)=_______________
Based on the experimental probability of each color, predict what the spinner may look like and
color the spinner to the right.
3. The probability that player A wins tennis match is 1
8
. What is the probability that player A
will lose?
4. A bag contains 9 red marbles, 3 blue marbles, 3 green marbles, and 3 yellow marbles. Determine
whether each statement correctly describes the likelihood of an event. Select true or false for each
statement.
Write the
Probability
True False
The probability that a yellow marble is selected is 0.
The probability that a red marble is selected is 1.
The probabilities of selecting a blue marble, a green marble,
or a yellow marble are equal.
5. Multiple Choice: Martin has a fair 6 sided cube with colored faces. He rolled the cube 240 times. He
recorded the color that was facing up. His results are shown in the table.
Based on the table, what is the most likely number of sides of Martin’s cube that are blue?
a. 1 b. 2 c. 3 d. 4
6. ASB kept track of how many cookies each contestant ate during the lunch time
competition. Use the box plot to answer the questions below.
a. What is the median?
b. What is range?
c. What is the interquartile range?
d. What percent of the contestants can eat more than 8 cookies?