Download Day 2 CompoundProbabilty ppt

Part 2
 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:
 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.
1. Find the odds of drawing a 10.
2. Find the odds of drawing a Heart.
 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 = {
, ,
, …}
 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)
 A card is randomly drawn from a standard deck of 52 cards.
Find the probability of drawing the given card.
a) King of diamonds
b) A spade
c) A card other than a 2
d) A king
e) A black card
f)
A face card
You have an equally chance of choosing any integer from 1
through 50. Find the probability of the given event.
a. An even number is chosen
b. A perfect square is chosen
c. A factor of 150 is chosen
d. A number is less than 35 is chosen
e. A perfect cube is chosen
200 students are in the freshman class. 50 students wore
hats on a field trip, 100 students wore sunglasses and 30
people wore both.
1. How many students did not wear sunglasses or a hat?
2. What is the probability that the student didn’t
wear sunglasses?
 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?
 *Intersection*
 *Union*
Or:
And:
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)
 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?
 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?
A card is randomly selected from a standard deck of 52
cards. Find the probability of drawing the given card.
a) A king and a diamond
b) A king or a diamond
c) A spade or a club
d) A 4 or a 5
e) 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)=
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…
a) If you replace the first card before selecting the second.
b) If you do not replace the first card.
Find the probability of drawing the given cards from a
standard deck of cards (a) with replacement and then (b)
without replacement.
1. A club, then a diamond
2. A jack, then a 7
3. A 5, then a face card, then an ace
4. A king, then another king, then a third king