Study Guide for Unit 6
7th Grade Math
Use the diagram to answer questions 1 - 4.
A
B
C
D
1. What is the probability that the coin will land on HEADS? Point A, B, C, or D ?
Sometimes “luck” changes, but the probability is 1 out of 2.
2. What is the probability that you are on Earth right now? Point A, B, C, or D ?
We’re all on Earth right now, so it is a definite event.
3. What is the probability that your brother is an elephant? Point A, B, C, or D ?
Your brother is NOT an elephant. You may get mad at him sometimes, but he is not an animal.
4. What is the probability that you will land on BLUE on that spinner?
Yellow and blue are ¼ of the circle. Red is ½ . Point A, B, C, or D ?
5. If the cards to the right are shuffled, what is the probability
that you will draw a 3 or a 4?
11 out of 16 are 3 or 4, so the probability is 11/16.
6. What is the probability that you will draw a one?
1
1
2
2
2
3
3
3
3
4
4
4
4
4
4
4
2 out of 16 are 1’s, so the probability is 2/16, (better is 1/8)
7. Draw a diagram to illustrate how many different options
there are for math projects. Hint: tree diagram?
circle
Individual
bar
line
P.P.
Poster
P.P.
Poster
P.P.
Poster
box
P.P.
Poster
circle
P.P.
Poster
bar
P.P.
Poster
line
P.P.
Poster
box
P.P.
Poster
Group
Answer: There are
16 different
options for math
projects.
Math Project
Individual
How
Group
Circle Graph
Bar Graph
Type of Graph
Line Graph
Box Plot
Poster
Presentation
Power Point
8. Pat flipped a coin and it landed on heads 3 times in a row. What is the probability that it will land on
on heads the next time he flips it? It is still 1 out of 2. Flipping 20 heads in a row would still not change
the probability. It’s just odd luck.
9. There are 7 girls and 2 boys on the DMS debate team. There are 3 girls and 4 boys on the HMS debate team.
A student from each team is chosen to debate. What is the probability that both students chosen will be boys?
SO there is an 8 out of 63 probability that a boy will be chosen from each team.
10. What is the probability of tossing 4 coins and getting tails on all four?
SO, there is a 1 in 16 probability that you will toss 4 tails in a row.
11. Josh has a six-sided number cube. If he rolls it 60 times, how many times should Josh expect to roll a six?
Since the probability of rolling a 6 is 1 in 6, then the probability is Josh will roll 10 in 60 tries.
12. What is the probability that you will roll a 6 on the number cube AND spin a triangle on the spinner?
13. Jack and Jill are playing a game. They flip 2 coins and if BOTH coins land on HEADS, Jill wins.
If one lands on tails and one lands on heads, Jack wins. If both land don tails, no one wins.
Is this a fair game? Why or why not?
It is not a fair game because Jill has a probability of 1 in 4 to get 2 heads. Jack wins if
there are 1 of each. That means the probability that Jack will win is 2 out of 4 (or ½ ).
HH
HT
TH
TT
Here are all the possible
outcomes. I colored COIN 1 red
and COIN 2 blue.
CC.7.SP.8