Random
Experimental Probability
Theoretical Probability
Comparing Probabilities
Random
100
The equation for Theoretical Probability
TP = # of successful outcomes / # of possible outcomes
100
Sam tossed a coin 10 times and tails turned up nine times.
9/10
100
What is the theoretical probability of rolling an even number on a standard six-sided die.
1/2
100
The difference between Experimental and Theoretical Probability?
Experimental: from the result of an experiment
Theoretical: from calculating what SHOULD happen
100
The equation for Experimental Probability
EP = # of times event occurs / total # of trials
200
1/2 as a DECIMAL and PERCENT
0.5
50%
200
You play rock, paper, scissors 20 times and win 12.
3/5
200
A school raffle has 300 tickets sold. Ms. Benati buys 16 tickets. If one winning ticket will be drawn, what is the theoretical probability that I will win?
4/75
200
A coin is flipped 50 times and tails occurs 28 times. Is the experimental or theoretical probability of flipping tails greater?
Experimental
200
0.2 as a FRACTION and PERCENT
1/5
20%
300
Create a TREE DIAGRAM to determine the number of possible outcomes for a family with 4 kids.
16
300
A carnival game was played 200 times and 72 players won a prize. What is the experimental probabiltiy of NOT winning a prize?
16/25
300
A coin is tossed 3 times. What is the theoretical probability that it will turn up heads all three times?
1/8
300
Lauren has been practicing a magic trick where she guessed her friends card from a regular deck. In her last 15 attempts, she has gotten the card correct 10 times. Compare the experimental probability Lauren guessed the correct card to the theoretical probability. Which one is greater?
EP = 2/3
TP = 1/52
Experimental
300
Create a table to determine all possible outcomes for the PRODUCT (multiplication) of 2 dice being rolled
400
The probability an event happens + the probability the event does NOT happen =
1 or 100%
400
Manchester City had a win:loss:tie record of 23:6:9. If they are scheduled to play 50 games this year, how many would you expect them to win?
30 games
400
2 dice are thrown and their SUM is calculated (addition). What is the theoretical probability that the SUM is less than 7?
5/12
400
A lake contains 37 bass, 24 trout, and 13 salmon. When Teddy went fishing with prawn as the bait, the ratio of fish caught was 1:1:5. Find the theoretical and experimental probability of catching salmon. Which is more likely?
TP = 13/74 = 17.6%
EP = 5/7 = 71.4%
Theoretical
400
You are randomly drawing cards from a deck until you draw a King. The first two draws are NOT kings. What is the probability that you draw a King on your 3rd draw? Has the probability increased or decreased from when you started?
2/25
500
The card game euchre is played with only 9s, 10s, Face Cards, and Aces. How would the theoretical probability of pulling an Ace in euchre differ from pulling an Ace in a regular deck? Is it more or less likely?
Euchre: 1/6 = 16.7%
Regular Deck: 1/13 = 7.7%
More likely in euchre
500
Steven calculated that he has seen a yellow punch buggy on 32% of his drives. If he has seen 48 yellow punch buggies, how many drives has he been on?
150
500
You are playing a game of war against your friend. Your friend turns up a 10. What is the THEORETICAL PROBABILITY that you win the round (turn up a higher card)?
12/51
500
A game of chance involves the rolling of two dice. You win $5 if you roll doubles, otherwise you have to pay $1. If you played this game 100 times, would you expect to win or lose money?
Win (doubles): 1/6 = 17% --> 17 WINS x $5 = $85 gains
Loose (NOT doubles): 5/6 = 83% --> 83 LOSSES x $1 = $83 losses
Expect to win $2
500
1 - the probability the event occurs =
The probability the event does NOT occur