Download 7 th Grade PreAP- Lesson 5.1 Homework Probability of Simple Events

NAME _____________________________________________ DATE ____________________________
PERIOD ____________
7th Grade PreAP- Lesson 5.1 Homework
Probability of Simple Events
The spinner shown is spun once. Determine the probability of each event. Express each answer as a fraction, a
decimal, and a percent.
1. P(C)
2. P(G)
3. P(M or P)
4. P(B, E, or A)
5. P(not vowel)
6. P(not M)
Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is
picked without looking. Determine each probability. Express each answer as a fraction, a decimal, and a percent.
7. P(3 or 4)
8. P(greater than 5)
9. P(odd)
10. P(not 5 and not 10)
The spinner is spun once. Write a sentence stating how likely it is for each event to happen. Justify your answer.
11. fish
12. bird, cat, or fish
13. Of the water lilies in the pond, 43% are yellow. The others are white. A frog randomly jumps onto a lily. Describe
the complement of the frog landing on a yellow lily and determine its probability.
Course 2 • Chapter 5 Apply Proportionality to Probability
NAME _____________________________________________ DATE ____________________________
PERIOD ____________
Enrich
Working Backward with Probabilities
Suppose that you are given this information about rolling a number cube.
1
1
P(1) = 2
P(3) = 3
1
P(5) = 6
Can you tell what numbers are marked on the faces of the cube? Work backward.
Since a cube has six faces, express each probability as a fraction whose
denominator is 6.
3
2
P(1) = 6
P(3) = 6
1
P(5) = 6
So, the cube must have three faces marked with the number 1, two faces marked 3, and one face marked 5.
Each set of probabilities is associated with rolling a number cube.
What numbers are marked on the faces of each cube?
1
5
1. P(2) = 3
P(4) =
2. P(1 or 2) = 6
1
3
P(2 or 3) =
1
P(6) = 3
2
3
P(1, 2, or 3) = 1
Each set of probabilities is associated with the spinner shown at the right.
How many sections of each color are there?
5
3. P(yellow or purple) = 8
3
P(purple or white) = 4
P(green or blue) = 0
P(yellow, purple, or white) = 1
4. Suppose that you are given this information about pulling a marble out of a bag.
1
1
P(green) = 4
P(yellow) =
3
P(blue) = 6
1
24
P(white) =
P(red) = 8
1
24
P(black) =
If the bag contains 48 marbles, how many marbles of each color are there?
Course 2 • Chapter 5 Apply Proportionality to Probability
1
8
NAME _____________________________________________ DATE ____________________________
PERIOD ____________
th
7 Grade PreAP- Lesson 5.1 Homework
Probability of Simple Events
The spinner shown is spun once. Determine the probability of each event. Express each answer as a fraction, a
decimal, and a percent.
1. P(C)
2. P(G)
3. P(M or P)
4. P(B, E, or A)
5. P(not vowel)
6. P(not M)
Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is
picked without looking. Determine each probability. Express each answer as a fraction, a decimal, and a percent.
7. P(3 or 4)
8. P(greater than 5)
9. P(odd)
10. P(not 5 and not 10)
The spinner is spun once. Write a sentence stating how likely it is for each event to happen. Justify your answer.
11. fish
12. bird, cat, or fish
13. Of the water lilies in the pond, 43% are yellow. The others are white. A frog randomly jumps onto a lily. Describe
the complement of the frog landing on a yellow lily and determine its probability.
Course 2 • Chapter 5 Apply Proportionality to Probability
NAME _____________________________________________ DATE ____________________________
PERIOD ____________
Enrich
Working Backward with Probabilities
Suppose that you are given this information about rolling a number cube.
1
1
P(1) = 2
P(3) = 3
1
P(5) = 6
Can you tell what numbers are marked on the faces of the cube? Work backward.
Since a cube has six faces, express each probability as a fraction whose
denominator is 6.
3
2
P(1) = 6
P(3) = 6
1
P(5) = 6
So, the cube must have three faces marked with the number 1, two faces marked 3, and one face marked 5.
Each set of probabilities is associated with rolling a number cube.
What numbers are marked on the faces of each cube?
1
5
1. P(2) = 3
P(4) =
2. P(1 or 2) = 6
1
3
P(2 or 3) =
1
P(6) = 3
2
3
P(1, 2, or 3) = 1
Each set of probabilities is associated with the spinner shown at the right.
How many sections of each color are there?
5
3. P(yellow or purple) = 8
3
P(purple or white) = 4
P(green or blue) = 0
P(yellow, purple, or white) = 1
4. Suppose that you are given this information about pulling a marble out of a bag.
1
1
P(green) = 4
P(yellow) =
3
P(blue) = 6
1
24
P(white) =
P(red) = 8
1
24
P(black) =
If the bag contains 48 marbles, how many marbles of each color are there?
Course 2 • Chapter 5 Apply Proportionality to Probability
1
8