Sample Spaces & Simulations
Predictions & Probability
Complement of an Event
Experimental vs Theoretical
Compound Probability
100
The three ways we discussed in which you can show a sample space.
What is Lists, Tree Diagrams,
100
For predictions we use
What is a proportion
100
If P(Event A)= 3/4 then P(Not Event A)=
What is 1/4
100
Experimental is __________ Theoretical is ___________
What is Experimental is what actually happened Theoretical is what should happen
100
How to find compound probability
What is multiply the probabilities of each event together
200
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone. How many possible combinations
What is 2*4= 8
200
4 out of every 7 people that rent a redbox return their movie the next day. If 210 people rent a redbox how many can be expected to return their movie the next day?
What is 4/7=x/210, x=120
200
If there are 12 blue, 6 green, and 2 yellow marbles in a bag. What is the probability of not selecting a green marble?
What is 14/20 = 7/10
200
If you roll a die 30 times and the die land on a even number 18 times, What is the difference between the theoretical and experimental probability
What is P(exp)= 18/30= 3/5 P(theor)= 1/2 3/5 - 1/2 = 6/10 - 5/10 = 1/10
200
On Roberto's shelf are: 6 mystery books, 5 science books, 4 history books, and 3 adventure books. What is the probability that Roberto chooses a adventure book if he chooses one book off the shelf?
What is 1/6
300
Ed rolls a number cube and selects a card from a deck. Write a sample space that only includes Ed rolling an odd number and choosing a red face card.
What is (1, Jack of Hearts) (1, Jack of Diamonds) (1, Queen of Hearts) (1, Queen of Diamonds) (1, King of Hearts) (1, King of Diamonds) (3, Jack of Hearts) (3, Jack of Diamonds) (3, Queen of Hearts) (3, Queen of Diamonds) (3, King of Hearts) (3, King of Diamonds) (5, Jack of Hearts) (5, Jack of Diamonds) (5, Queen of Hearts) (5, Queen of Diamonds) (5, King of Hearts) (5, King of Diamonds)
300
If KD makes 40% of all 3 pointers he takes. If he takes 300 how many will he make
What is 40% of 300 = 120
300
A number from 5 to 20 is chosen at random. What is the probability that the number chosen is not even?
What is 8/16 = 1/2
300
Your sock drawer is a mess! You just shove all of your socks in the drawer without worrying about finding matches. Your aunt asks how many pairs of each color you have. You know that you have 64 individual socks in four different colors: white, blue, black, and tan. You do not want to count all of your socks, so you randomly pick 20 individual socks and predict the number from your results. White= 1, Tan= 4, Black= 3, Blue=1. What is the difference between the theoretical and experimental probability of getting Black socks
What is P(exp)=3/20, P(theor)=1/4 1/4 - 3/20 = 5/20 - 3/20 = 2/20 =1/10
300
What is the probability of rolling a 4 then a 5 on a die?
What is 1/6*1/6 = 1/36
400
If you have two events: Event A has m ways it can occur and Event B has n ways it can occur, then there are m*n ways they can both happen.
What is Fundamental Counting Principle
400
A box of dough-nuts contains 5 glazed, 2 cream-filled, and 3 jelly dough-nuts. Your friend takes a cream-filled dough-nut. What is the probability of you now reaching in the box without looking and getting a cream-filled dough-nut?
What is 1/9
400
A jar contains 40 pins. In which 13 are gray pins, 17 are red, and 10 are blue. A pin is chosen at random from the jar, what is the probability that it is not blue?
What is 30/40 = 3/4
400
A store manager receives a delivery of 2 boxes of lightbulbs. Each box contains 25 lightbulbs. The store manager tests all the lightbulbs and finds that 2 of them are defective. Based on these results, how many more bulbs can he predict will be defective if 4 more boxes are delivered.
What is 4 more defective bulbs, or 2 more than a delivery of 2 boxes
400
Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. If she randomly selects 2 coins from the bag one at a time without replacement, what is the probability of Mildred selecting a dime then penny?
What is P(1st dime)*P(2nd penny)= 10/16 * 1/15 = 10/240 = 1/24
500
A restaurants Sunday Special includes an appetizer, dinner plate, and dessert from a selected list. Your appetizer options are salad, cheese sticks, fried pickles, or onion rings. Choices for the dinner plate include either ribs, steak, baked potato, or catfish. Dessert is your choice of ice cream, a brownie, or a cookie. How many total possible combinations for the Sunday Special?
What is 4*4*3 = 48
500
Stephanie was doing a science experiment to see what brand of cereal with raisins actually had more raisins. She scooped out one cup of cereal and counted 27 raisins. If there were 12 cups of cereal in the box, predict about how many raisins should there be in the box?
What is 27raisins/1cup= Xraisins/12cups = 324
500
An event and its complement...............
What is have a sum of 1
500
Felix has a bucket of golf balls. In the bucket are 4 pink, 11 white, 8 orange, and 18 green. Based on this how much more likely is is to select a orange than a pink?
What is 2 times as likely
500
Gabriel has the following soup cans in his kitchen: 2 tomato, 3 chicken, 2 cheese, 2 potato, and 1 beef. If Gabriel randomly chooses one can of soup, does not replace it, and then chooses another can of soup, what is the probability of Gabriel choosing first a can of tomato soup then a can of chicken soup?
What is P(1st tomato)= 2/10 P(2nd chicken)= 3/9 P(tomato & chicken)= 2/10*3/9 = 6/90 =1/15
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