The ratio of the number of favorable outcomes for the event of the total number of possible outcomes.
What is the probability of an event?
What is the probability that I role an even number on a 6 sided die?
3/6 or 1/2
50% chance an even number will be rolled
Explanation: There are six sides on a die. 1, 2, 3, 4, 5, 6. Out of these numbers, three are even (2,4,6). The chances I will role one of those numbers is 3/6.
What is the probability of selecting a letter M in the word MATHEMATICS?
2/11
There are the letter M appears twice and there are 11 letters in total.
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Find the odds of each outcome if a computer randomly picks a letter from the word: SUCCESS
1. the letter s
2. the letter c
3. a vowel
4. a consonant
Answer:
1. 3/7
2. 2/7
3. 2/7
4. 5/7
Explanation:
There are 7 letters in the word 'success'
1. There is an 's' 3 times out
2. There is a 'c' 2 times
3. There are two vowels
4. There are five consonants
relates the number of outcomes to the number of choices.
What is the fundamental counting principle?
List of all possible outcomes
What is the sample space?
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Look at this colored wheel. What is the probability that if I spin it, I will not land on green?
5/8
Explanation:There are 8 sides on the wheel. 5 of the sides are not green. The chances of me landing on something that is not green is 5/8 or 62.5%
A contest to win a vacation in Fiji has 1,000 entries, including yours. What are the odds in favor of you winning the contest?
1/1,000
Explanation: Everyone purchased one entry. You have a 1/1,000 chance in winning.
When there are n outcomes and the probability of each one is 1/n
What is equally likely?
A restaurant offers coleslaw, french fries, or white rice as a side with three types of sauces (ketchup, ranch, or barbecue) in four types of bowls (junior, small, medium, large). Find the number of possible choices.
36
Explanation: There are 3 sides, 3 sauces, and 4 types of bowls. If the event M can occur in m ways and is followed by event N that could occur in n ways then the event M followed by N can occur in m(n) ways
3(3)(4) = 36
If I flip a coin, what are the odds, that I will land on heads?
1/2 or 50%
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At South Shore High School, there are 1,871 students. 935 of those students are female. If a student is chosen at random, what is the probability of that student being male?
Answer: 936/1871
Explanation: There are 1871 students in total and 935 are female. 1871-935 = 936 which is amount of students who are male.
The events for rolling a 1 and not rolling a 1
What are complements?
Jackie has a deck of 52 cards. What are the odds of Jackie selecting a card that has hearts on it?
Hint: you may look up the number of hearts in a deck if you are unsure.
Answer: 13/52 or 25%
Explanation: There are 13 hearts (2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace). The odds of Jackie selecting a heart would be 13/52 or 25% because there are 52 cards.
There are 54 tickets left on sale for the Ariana Grande concert. 20 of those tickets are for front row seats. Let's say the buyer cannot control if they get a front row seat or not. What is the probability of someone selecting a front row ticket?
Answer: 20/54
Explanation: There are 20 front row tickets with 54 tickets in total.
One method used for counting the number of possible outcomes:

What is a tree diagram?
I have a bag of M&Ms. There are 10 red ones, 5 blue ones, 2 green ones, 18 yellow ones, and 15 brown ones. Find the probability of me selecting a red or a brown one.
25/50 or 50%.
Explanation: There are 50 M&Ms in total. There are 10 red ones and 15 brown ones. 10+15=25. The probability is 25/50 or 50%.
My pencil case has 50 pens. 15 are red, 12 are blue, 10 are black, and 13 are green. What are the odds that if I stick my hand in the pencil case, I will pull out a red pen?
15/50
There are 50 pens in total and there are 15 red pens
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An ice cream shop has 6 different flavors, 3 different toppings, and 5 different ways to serve the ice cream. Find the number of choices possible.
Answer: 90
Explanation: There are 6 flavors, 3 different toppings, and 5 ways the ice cream can be served. If the event M can occur in m ways and is followed by event N that could occur in n ways then the event M followed by N can occur in m(n) ways
6(5)(3)= 90
the ratio that compares the number of ways an event can occur (success) to the number of ways it cannot occur (failures)
What are the odds of an event?