Theoretical
Ms. Bova rolls 2 number cubes. What is the theoretical probability that she rolls a factor of 8?
P(factor of 8) = 4/11
Ms. Butler spun a spinner 150 times. Her results are recorded below.
Green: 25
Yellow: 60
Orange: 15
Pink: 50
What was the experimental probability of spinning Orange?
P(spinning orange) = 15/150 = 1/10 = 10%
At a school assembly 3 out of the first 10 students were wearing spirit wear. Based on this information, if 400 students were at the assembly, then how many students could be expected to be wearing spirit wear?
120
Is this theoretical or experimental probability? Why?
I rolled two six sided cubes 36 times and rolled a sum of 6 three times.
Experimental probability. This is an experiment where the outcomes were observed after 36 trials.
What is a sample space?
A sample space is the set of all possible outcomes of an event.
What is theoretical probability?
Theoretical probability is based on what is expected to happen.
FINISH THE SENTENCE:
As more trials are conducted, the experimental probability _______________________ to the theoretical probability.
As more trials are conducted, the experimental probability TENDS TO GET CLOSER to the theoretical probability.
A box of 30 batteries is checked and two are defective. Based on these results, how many can be predicted to be defective in a box of 120?
8
Is this theoretical or experimental probability? Why?
The probability of getting heads when flipping a coin is 50%.
Theoretical probability. The outcomes of flipping a coin is heads or tails, there is an even chance of flipping heads as there is to tails.
What is the sample space of rolling a six-sided cube?
S = {1,2,3,4,5,6}
What is the formula to find the theoretical probability of an event?
P(event) = ( _____ / _____ )
P(event) = number of favorable outcomes
number of possible outcomes
What is experimental probability?
Experimental probability is based on what actually happened in an experiment. It is found by repeating an experiment and observing the outcomes.
The theoretical probability that you will participate in Track and Field is 2/7. There are about 344 students in your grade. About how many students in your grade will participate in Track and Field?
98
What is another name for experimental probability?
relative frequency
Determine whether the games are fair or unfair. Explain your responses.
Game #1: A player rolls a number cube and wins if he rolls a 4, 5, or 6.
Game #2: A player rolls a number cube and does not win if numbers <= 4 are rolled.
Game #1: Fair game! The probability of rolling a 4, 5, or 6 is 3/6 or 1/2. The probability of rolling a 1, 2, or 3 is also 3/6 or 1/2.
Game #2: Unfair game! Numbers less than or equal to 4 include 1, 2, 3, and 4 so P(rolling 1,2, 3 or 4)=4/6=2/3 and numbers more than 4 are 5 and 6, so P(rolling 5 or 6)=2/6=1/3. Not equally likely!
I have a pack of Starbursts. There are 38 orange, 13 red, and 25 yellow. What is the probability that I pick an orange one?
38/76 = 1/2 = 50%
Vernon tossed a coin 20 times. The results were 8 heads and 12 tails. What is the experimental probability of tossing heads?
2/5
The numbers 1 -12 are written on a card and placed in a bag. What is the probability that a number divisible by 3 is drawn?
1/3
A noodle restaurant offers five types of noodles to choose from and each dish comes with a choice of one of four meats and six different sauces. How many combinations can be made?
120 different combinations
1) Probability is between numbers ___ and ___.
2) Think about a probability line. Fill out the likelihood of an event occurring.
a) The probability is 0 for an ____________ event.
b) The probability is 0.25 for an ___________ event.
c) The probability is 0.50 for an ___________ event.
d) The probability is 0.75 for a ___________ event.
e) The probability is 1 for a ____________ event.
1) Probability is between numbers 0 and 1.
2)
a) The probability is 0 for an impossible event.
b) The probability is 0.25 for an unlikely event.
c) The probability is 0.50 for an equally likely event.
d) The probability is 0.75 for a likely event.
e) The probability is 1 for a certain event.
There are 70 marbles in a bag. 15 are blue, 30 are red, 20 are orange and 5 are yellow. What is the probability you would pick a blue marble in simplest form?
15/70 = 3/14 (about 21%)
A six-sided cube with sides labeled A through F was rolled 50 times and the results were recorded:
A - 2
B - 6
C - 8
D - 13
E - 9
F - 12
How does the experimental probability of rolling F compare to the theoretical probability rolling F?
Theoretical: 1/6=0.167=16.7%
Experimental: 12/50=0.24=24%
The experimental probability is greater than the theoretical probability
WELCOME TO CHIPOTLE
CREATE A TREE DIAGRAM TO GET A FREE BOWL!
Your choices for rice are white or brown rice. Your choices for beans are black or pinto beans. Your choices for meat are steak, chicken, and veggies. How many different bowl combinations are available?
12 combinations!
At the annual Science Club Festival, 12 of the first 90 participants in throwing a baseball through a tire game won first prize, 22 won second prize, and 32 won third prize. What is the experimental probability of not winning any of the three prizes?
P(not winning) = 4/15
Use the Fundamental Counting Principle to determine how many outfits can be created from 4 pairs (blue, gray, beige, white) of jeans and 2 shirts (red, black).
8 outfits!