Probability Part 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:

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.

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 = { , , , …}

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)

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

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

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?

You Try.. 1500 students ordered lunch at the cafeteria on Monday. 625 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?

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

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)

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?

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?

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

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)=

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.

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