Theoretical and Experimental Probability
Predictions
Sample Space
Independent Probabilities
Dependent Probabilities
100
Explain the difference between theoretical and experimental probability.
What is theoretical probability is based off one event, where as experimental probability is a probability based on a certain number of trials?
100

Fill in the blank. When making predictions, you should set up a _______________ 

Proportion

100
What is a sample space?
What is a list of all possible outcomes for an event?
100
How do you know if two events are considered independent of one another?
What is: If the outcome of one event is not influenced by the outcome of the other?
100
How do you know if two events are considered dependent of one another?
What is if the outcome of the second event is influenced by the first event?
200
Frankie is going to roll a six-sided die. What is the probability that she will roll a 6?
What is 1/6?
200

How many times should a coin to land on heads if it is flipped 400 times? (Hint: Start with the probability of heads)

200 times

200
A coffee shop offers 2 types of coffee: caffeinated or decaffeinated; 3 types of flavoring: vanilla, hazelnut, and caramel; and 2 choices of topping: with or without whipped cream. How many possible choices are there?
What is 2*3*2 = 12 choices?
200
A number cube is rolled and a letter is selected from the word AMERICA. Find P(less than 4 and vowel)?
What is 4/14 or 2/7 or 14%?
200
A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks from the basket?
What is 92/287?
300
When rolling a six-sided die, what is the probability that you will roll a number less than 4?
What is 1/2?
300

A bag contains 20 marbles. In the bag there are 10 blue, 5 white, 5 green. If you pick a marble and replace it 140 times, how many times should you choose a blue marble? (Hint: start with the probability of blue)

70 times! Set up a proportion OR look for relationships blue is half of the bag therefore half of 140 is 70. 

300
A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?
What is 64?
300
A number cube is rolled and a coin is tossed. What is the probability of the cube landing on 5 or 6 and the coin landing on heads?
What is 2/12 or 1/6?
300
Miss Cape is packing for a trip. In her closet there are 3 red, 4 black, 2 green and 2 yellow blouses. If she randomly selects 2 blouses, what is P(red and red)?
What is 3/55?
400
A number cube is rolled 20 times. Below are the results for the experiment. Find the experimental probability for each number.

1: 2 times; 2: 8 times; 3: 4 times; 4: 1 time; 5: 5 times; 6: 0 times.

What is P(1)=1/10, P(2)=2/5, P(3)=1/5, P(4)=1/20, P(5)=1/4, P(6)=0
400

A spinner is numbered 1-5. If the spinner is spun 500 times, what is the probability it will land on a number 5 or less

500 time or 100% of the time.

400
Grace loves to eat salad! How many salads can she put together if she can choose one from each of the following: two types of lettuce, 4 types of vegetables and 7 types of dressing?
What is 56?
400

A spinner with equal sections numbered 1 to 5 is spun twice. A student calculated the probability below. Unfortunately, they are incorrect, find and correct the error:


2/5*1/4=2/20


Both chances are 2/5 when you multiply them you will get 4/25

400
In a standard deck of cards there are 52 cards. What is the probability of drawing a 4, then without putting the first card back in the deck, drawing another 4?
What is 4/52 * 3/51 = 12/2,652?
500
When playing a board game, Miss Cape rolled a number cube 10 times. She rolled an even number 7 times. Based on her results, what is the experimental probability she will roll an odd number?
What is 3/10?
500

The experimental probability that it will rain on any given day in Houston, Texas, is about 15%. Out of 365 days, about how many days can residents predict rain?

55 days

500
You go to Best Buy to purchase a new television. You have the following choices: LCD or plasma; screen size 27”, 32”, 36”, 41”, 51”, or 63” and manufacturer Sony, Vizio or Phillips. How many different televisions does the store have to offer?
What is 36?
500
Give an example of two events that would be independent of one another.
What is a cube roll and a coin flip?
500
Give an example of two events that would be considered dependent.
What is drawing multiple cards out of a deck without replacing the cards.
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