Theoretical/Experimental Probability
Making Predictions Using Probability
Compound Probability
Using Simulations and Describing Probability
Total Number of Outcomes
100
A bag contains 4 red, 2 yellow, and 8 green marbles. What is true about the probability of selecting a yellow marble from the bag? Is the probability closest to 0, 1/2, or 1?
P(yellow) = 2/14 = 1/7
closest to 0
100
In one hour yesterday, 3 out of every 7 milkshakes sold was chocolate. Based on the findings, how many chocolate shakes can we expect to sell if 392 shakes are sold?
168 chocolate shakes
100
There are 5 boys and 4 girls from the seventh grade and 3 boys and 7 girls from eighth grade on the student council. The principal will pick officers from each grade. What is the probability, in fraction form, that both officers will be boys?
15/90 = 1/6
100
Darius is on the basketball team. He has a 75% free throw rate. He may complete his next free throw. Describe a method that could be used to simulate this situation?
Using two coins - HH, HT, TH - make & TT - miss
Using a spinner with 3 sections shaded and 1 not
100
What is it called when you are multiplying the number of outcomes from multiple events to find out the total number of combinations possible?
Fundamental Counting Principle
200
What is the probability, as a percent, that you will be chosen out of a class of 45 to play warball?
2.2%
200
Armando spins a spinner with six equally sized sections numbered 1 to 6. If Armando does this 160 times, how many times would you expect the spinner to land on an even number?
80 times
200
A box has 3 pink legos, 3 purple legos, and 6 yellow legos. Ann took a lego from the box, looked at it, returned it to the box, and chose another lego. What is the probability, in fraction form, that the first lego was purple and the second lego was yellow?
18/144 = 1/8
200
There are four different choices for connections next year. Students may choose Agriculture, Technology, Engineering, or Weightlifting. Erin can’t decide what she wants to take. Describe a method that could be used to simulate this situation?
Using a spinner with 4 equal sections labeled with the connections
200
A pizza shop has 2 meat toppings, 3 vegetable toppings, and 3 cheese toppings. How many different pizzas (one meat, one vegetable, and one cheese topping) can be made?
2*3*3 = 18 different combinations
300
Tammie's baby brother smiles almost every time another kid walks by. For the last twelve minutes, 18 kids have passed and he's smiled at 15 of them. What's the likelihood, in percent, that he will NOT smile at the next kid?
16.7%
300
Julie’s team averages 3 free throws out of every 14 attempts per game. Using this information, make a prediction about how many free throws they can expect after attempting 420 free throws for the entire season.
90 free throws
300
Amy has five shirts (blue, white, red, yellow, and purple) and four pairs of pants (black, white, grey, and brown) in her closet. Make a chart to help you see.
What is the probability that she will end up in an outfit that does NOT include the colors red or white?
9/20 = 45%
300
Seth’s team has won 1 out of the last 7 soccer games. How likely is it that they will win again based on this record?
Unilkely
300
If there are 4 choices of sandwiches, six types of chips, and you can choose between coke, tea, and water. How many combinations of meals could be made?
72 combinations
400
Give a fraction to represent a probability that is most likely to occur but not certain.
Give a fraction to represent a probability that is least likely to occur but not impossible.
Most Likely but not certain = 7/8, 3/4, 9/10, etc.
Least likely but not impossible = 1/12, 2/9, 1/10, etc.
400
If five people choose turkey, 6 people choose ham, and 8 people choose roast beef, then how many people would you predict would choose turkey if you asked 114 people?
30 people
400
What is the probability of spinning a 2 on the first spinner, a 5 on the second spinner, and a 10 on the third spinner?
4/256 = 1/64 = 1.6%
400
P(yellow) = 5/12
P(green) = 7/15
P(black) = 22/56
Which of these events is most unlikely to happen?
Getting a black
400
If you can choose between roast beef, ham, turkey, or tuna. Choose chips, potato salad, or slaw. And then choose soda or tea
How many outcomes are possible?
How many outcomes include potato salad?
24 different combinations
8 of those combinations include potato salad
500
Which combination would give Amy the greatest probability of picking a blue marble and why?
a bag with 4 blue and 12 white
a bag with 8 blue and 20 whites
a bag with 4 blue and 8 whites
a bag with 5 blue and 25 whites
#3 - 4 blue and 8 whites - 4/12 = 33.3%
500
The probability of spinning red on the spinner is 1/6. Mark spins the spinner 15 times and never gets red. What could be a reason that the theoretical probability (1/6) and the experimental probability (0/15) do not match? What is this topic called?
There were not enough trials completed
Law of Large Numbers
500
Using a spinner with colors blue, white, red, green and a number cube, what is the probability that you would not land on green and roll a 3, 4, or 5?
9/24 = 3/8 = 37.5%