How can you find the number of possible outcomes of one or more events? (Please write this in your notes, along with the Math Practices from the activity today)
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Question 1
1.
Nick and Casey are playing darts on the above board that has five regions labeled A, B, C, D and E.
In which of the regions is a dart least likely to fall?
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Question 2
2.
Explain why you chose your answer to Question 1?
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Question 3
3.
Jamal is planning a picnic to take place on Sunday. The weather report says there is a 40% chance of overcast skies, a 30% chance of sunshine, a 20% chance of hail and a 10% chance of rain. Based on this forecast, which statement below is true?
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Question 4
4.
Peter Piper picked a pickled pepper out of a pepper jar. If the probability of drawing a pickled pepper was 2/5, how many total peppers could be in the jar (psst. you can't have a half of a pepper)?
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Question 5
5.
Which of the following experiments does not have equally likely outcomes?
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Question 6
6.
In an experiment it was found that 20 out of 50 bean plants died when placed in certain soil. What was the probability that an individual bean plant died?
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Question 7
7.
This lock has 3 wheels. Each wheel is numbered from 0 to 9.
There are ____ possibleoutcomes for the first wheel.
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Question 8
8.
This lock has 3 wheels. Each wheel is numbered from 0 to 9.
There are ____ possibleoutcomes for the second wheel.
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Question 9
9.
This lock has 3 wheels. Each wheel is numbered from 0 to 9.
There are ____ possibleoutcomes for the third wheel.
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Question 10
10.
This lock has 3 wheels. Each wheel is numbered from 0 to 9.
The least three-digit combination possible is ______.
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Question 11
11.
This lock has 3 wheels. Each wheel is numbered from 0 to 9.
The greatest three-digit combination possible is ______.
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Question 12
12.
This lock has 3 wheels. Each wheel is numbered from 0 to 9.
How many possible combinations are there?
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Question 13
13.
This lock has 3 wheels. Each wheel is numbered from 0 to 9.
How can you use multiplication to determine the number of possible combinations?
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Question 14
14.
This lock has 4 wheels.
Wheel 1: 0–9
Wheel 2: A–J
Wheel 3: K–T
Wheel 4: 0–9
How many possible combinations are there?
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Question 15
15.
Create a secure password... psst, don't tell anyone... The password has to contain 5 digits, including both numbers and letters. Write the password below:
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Question 16
16.
Using your new, secure password, determine the probability that I would guess your password below on the first try.
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Question 17
17.
This lock is numbered from 0 to 39. Each combination uses three numbers in a right, left, right pattern. How many possible combinations are there?
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Question 18
18.
Sooo..... what's a Sample Space? Write a description below as well as in your notes.
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Question 19
19.
What's a quicker way of finding the number of different kinds of pizzas you could get?
Fundamental Counting Principal
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Question 20
20.
In your own words, how would you explain the Fundamental Counting Principal to your mom?
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Question 21
21.
How many different outfits can you make from the T-shirts, jeans, and shoes in the closet above? Use the F.C.P. (Fundamental Counting Principal)
Compound Events
You flip three nickels. What is the probability of flipping two heads and one tails? Look at the tree diagram below to find out.
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Question 22
22.
How many possible outcomes are there to flipping a coin three times?
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Question 23
23.
What is the probability of flipping two heads and one tails?
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Question 24
24.
What is the probability of flipping three tails in a row? Write your answer as a fraction.
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Question 25
25.
Tabatha’s closet contains 5 shirts and 3 pairs of pants. Draw a tree diagram below to represent all possible combinations of outfits.
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Question 26
26.
A true-false quiz has five questions. You can answer the quiz in different ways. Describe and correct the error above in using the Fundamental Counting Principle to find the total number of ways that you can answer the quiz.
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Question 27
27.
Two cubes, each numbered 1–6, are thrown. What is the probability their sum will be 7? (Use the table of sums above, or draw your own, to help determine the answer.)
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Question 28
28.
If you toss a coin and spin the spinner, what is the probability of heads and red?
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Question 29
29.
LIFE HACK!! You randomly guess the answers to two questions on a multiple-choice test. Each question has three choices: A, B, and C. What is the probability that you guess the correct answers to both questions? Answer as a fraction.
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Question 30
30.
Your model train has one engine and eight train cars. Find the total number of ways you can arrange the train. (The engine must be first.)
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Question 31
31.
Jamie can choose to go to school in a number of ways. By making three or fewer turns, how many different routes can he take?
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Question 32
32.
From a group of 5 candidates, a committee of 3 people is selected. In how many different ways can the committee be selected?
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Question 33
33.
Leon uses squares to make a board. He randomly throws a stoneonto the board.
What is the probability the stone lands on a space marked 3?
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Question 34
34.
Leon uses squares to make a board. He randomly throws a stoneonto the board.
What is the probability the stone lands on a space marked 2?
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Question 35
35.
Leon uses squares to make a board. He randomly throws a stoneonto the board.
What is the probability the stone lands on a space marked 1?