Theoretical Probability
Experimental Probability
Tree Diagrams
Organized List
Likelihood
100
What is Theoretical probability ?
Theoretical probability is a probability that is expected
100
What is Experimental probability?
Experimental probability is the actual result of an experiment or simulation
100
What is a tree diagram and what is it used for?
Tree diagrams are used to model probability outcomes.
100
On a menu, there is a choice of a burger, chicken fingers, or a hot dog. The sides are chips or french fries. The drinks are water or soda.
Make an organized list to find the probability.
P(chicken fingers with fries)
2/12 = 1/6
100
There are 4 numbers in the combination to open a lock. Using the numbers 0-5, what is the likelihood you figure out the combination on the first try?
Unlikely
200
The spinner below has 6 equal sectors colored red, purple, blue, yellow, orange, and green. What is the theoretical P(green)?
f P(green) = 1/6
200
The following table displays the number of children that members of a fitness club have. Based on this data, what is the Experimental P(fewer than 3 children)
Number of children|Number of members
_________________________________
1 | 6
2 | 4
3 | 8
4 | 1
5 | 1
P(fewer than 3 children)= 10/20
= 1/2
200
Draw a tree diagram to show all the outcomes of the experiment.
Bag A contains 2 red and 3 black marbles.
Bag B contains 2 red and 4 black marbles.
A ball is drawn at random from each bag.
P(both are red)
P(both are red) =4/30
= 2/15
200
On the menu, there is a choice of a burger, chicken fingers, or a hot dog. The sides are chips or french fries. The drinks are water or soda.
Make an organized list to find the probability.
P(not having a hot dog)
8/12=2/3
200
There is a 50% chance it will rain tomorrow.
What is the likelihood of it raining tomorrow?
Equally likely or
As likely as not
300
A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the theoretical probability of P(blue marble)
P(blue marble) = 8/20
= 2/5
300
The winter clothing drive has received donations of 15 coats, 30 pairs of gloves, 18 scarves, and 25 hats so far. What is the Experimental P(NOT gloves)?
P(NOT gloves) = 58/88
= 29/44
300
Draw a tree diagram to show all the outcomes of the experiment.
Bag A contains 2 red and 3 black marbles.
Bag B contains 2 red and 4 black marbles.
A ball is drawn at random from each bag.
P(both are black)
b) P(2 black)= 12/30
2/5
300
Debbie put 25 cents in a vending machine. The vending machine glitches and spits out Debbies change in nickels and dimes. Use an organized list to display the coin combinations that the vending machine could give Debbie back.
How many possible combinations are there? What are they?
3 combinations
NNNNN
NNND
NDD
300
Lightening, Speed Racer, and Thunderbolt are racehorses. Their probabilities of winning the race are as follows:
P(Lightening) = 3/10
P(Speed Racer) = 3/5
P(Thunderbolt) = 18/24
What is the likelihood of Speed Racer winning?
Likely
400
A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the theoretical probability of P(not red)
1/2
400
Pizza Nova made 10 cheese pizzas, 5 veggie pizzas, 3 pepperoni pizzas, and 2 sausage pizzas on Friday night. What is the Experimental P(pizza with a topping).
1
400
Draw a tree diagram to determine the probability.
Rolling a number cube and flipping a coin twice.
P(even with two heads)
3/24 = 1/8
400
You are playing rock, paper, scissors.
Make an organized list of outcomes for 2 rounds.
Find the P(tie both rounds)
1/9
400
Lightening, Speed Racer, and Thunderbolt are racehorses. Their probabilities of winning the race are as follows:
P(Lightening) = 3/10
P(Speed Racer) = 3/5
P(Thunderbolt) = 12/24
Which horse is most likely to win?
Speed Racer
3/5 = 0.6 = 60%
500
Joel's Spotify playlist has 20 classical songs, 31 rock songs, and 14 rap songs on it. When he puts it on shuffle, what is the theoretical P(rock or rap song)?
P(rock or rap song) = 45/65
= 9/13
500
Pizza Nova made 10 cheese pizzas, 5 veggie pizzas, 3 pepperoni pizzas, and 2 sausage pizzas on Friday night. What is the Experimental P(meatless)? State your answer as a fraction, decimal and percent.
15/20=3/4 0.75 75%
500
Draw a tree diagram to determine the probability.
Rolling a number cube and flipping a coin twice.
P(odd with at least one tail)
9/24=3/8
500
Make an organized list of the outcomes of rolling a number cube and spinning a spinner with red, blue, and purple on it.
Then find the P(prime and purple)
3/18=1/6
500
What is the likelihood of rolling a sum less than 13?
Certain
smallest is 1+1=2
largest 6+6=12