1. Probability
Part 2

2. What do you know about a deck of cards??
Total Number:
Number and type of Suits:
Number of cards in each suit:
Types of Face Cards
Number of each Face Card:
Number of Black Cards:
Number of Red Cards:

3. Number of Outcomes not in A
odds
When all outcomes are equally likely, the odds in favor of an event A is defined as:
Number of Outcomes in A
Number of Outcomes not in A
Example: A card is drawn from a standard deck of 52 cards.
Find the odds of drawing a 10.
Find the odds of drawing a Heart.

4. VOCAB/FORMULAS
The probability of an event is a number from 0 to 1 that indicates the likelihood the event will occur.
P(A) = _________________
Sample Space: The set of all possible outcomes of an experiment.
Notation: S = { , , , …}

5. A fair die is rolled once.
List the sample space:
What is the probability that the roll will be an even number? P(Even)=
P( >3)
P(>1 and <4)
P(10)

6. Ex.
A card is randomly drawn from a standard deck of 52 cards. Find the probability of drawing the given card.
King of diamonds
A spade
A card other than a 2
A king
A black card
A face card

7. Ex.
You have an equally chance of choosing any integer from 1 through 50. Find the probability of the given event.
An even number is chosen
A perfect square is chosen
A factor of 150 is chosen
A number is less than 35 is chosen
A perfect cube is chosen

8. Creating a Venn Diagram
200 students are in the freshman class. 50 students wore hats on a field trip, 100 students wore sunglasses and 30 people wore both.
How many students did not wear sunglasses or a hat?
What is the probability that the student didn’t wear sunglasses?

9. You Try..
1500 students ordered lunch at the cafeteria on Monday students had a sub sandwich, 825 students had pizza, and100 students had both a sub and a piece of pizza. What is the probability that a chosen student did not have either a sub or a pizza?

10. Magic Words:
*Intersection* And:
*Union* Or:

11. Probability of Compound Events
If A and B are any 2 events, then the probability of A or B is _________________________ If A and B are disjoint events, then the probability of A or B is ______________________ (Mutually Exclusive)

12. Ex.
A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a 10 or a face card?
A six sided did is rolled. What is the probability that the number rolled is less than 3 or greater than 5?

13. More Ex.
A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a face card or a spade?
A six sided die is rolled. What is the probability of rolling a number greater than 4 or even?

14. U DO!!!!
A card is randomly selected from a standard deck of 52 cards. Find the probability of drawing the given card.
A king and a diamond
A king or a diamond
A spade or a club
A 4 or a 5
Not a heart

15. A fair coin is tossed and a spinner is spun that has three equal regions numbered 1,2,and3.
Find the probability of each:
P(H and odd number)=
P(Even number)=
P(T or 1)=
P(no H)=

16. Replacement vs. non-replacement:
You randomly select 2 cards from a standard deck of 52 cards. What is the probability that the first card is not a heart and the second is a heart…
If you replace the first card before selecting the second.
If you do not replace the first card.

17. You try!
Find the probability of drawing the given cards from a standard deck of cards (a) with replacement and then (b) without replacement.
A club, then a diamond
A jack, then a 7
A 5, then a face card, then an ace
A king, then another king, then a third king