Theoretical Probability
Experimental Probability
Making Predictions
What's my score
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
A jar contains 4 purple marbles, 6 yellow marbles, and 5 orange marbles. Based on theoretical probability, how many times would you expect to draw a yellow marble in 150 draws (replacing the marble each time).
60 yellow marbles
100
33 out of 33 probelms correct on a test
100%
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
You roll a number cube with numbers 1-6 on it. The theoretical probability of rolling a number greater than 4 is 1/3. If you roll the die 225 times, predict how many times you would theoretically expect to roll a number greater than 4.
75 times
200
10 out of 20 problems correct
50%
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
Based on historical data, the theoretical probability that it will rain on any given day in April is 2/5. If April has 30 days, predict how many rainy days you would theoretically expect in April.
12 days
300
15 out of 20 problems correct on a test
75%
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
A standard deck has 52 cards. There are 4 aces in the deck. Based on theoretical probability, if you draw one card at random and replace it 260 times, predict how many times you would expect to draw an ace.
20 aces
400
6 incorrect out of 25 problems
76%
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
The theoretical probability of winning a small prize in a lottery is 2/9. If a person buys 75 lottery tickets, predict how many winning tickets they would theoretically expect to have.
about 17 winning tickets
500
2 incorrect out 50 problems
96%
500
What is the likelihood of rolling a sum less than 13?
Certain
smallest is 1+1=2
largest 6+6=12