Just a Theory?
Joe looks at a coin and knows that the probability of flipping a heads should be 1/2
Theoretical Probability
1/2
Is this probability independent or dependent?
Anna flips a coin twice to determine the probability of getting a heads and then a tails.
Independent Probability
Simplify the following fraction:
2/6
1/3
Is this probability theoretical or experimental?
A six sided number cube is rolled 10 times and a 4 is rolled 3/10 times.
Experimental
Determine the total amount of possible outcomes:
5 shirts, 2 pants, and 2 pairs of shoes
20
Amir wants to know the probability of choosing a yellow sock out of his drawer, and then without replacement, choosing another yellow sock.
Dependent
Simplify the following fraction:
4/48
1/12
Shana picks one ball at a time from a bag and replaces it. She repeats this process 12 times and records the results in the table.
Using the table below, find the probability of picking a green ball, and determine whether this probability is theoretical or experimental.| Color | Frequency |
|---|---|
| Red | 4 |
| Blue | 1 |
| Green | 5 |
| Yellow | 2 |
5/12
Experimental
What is the dependent probability of rolling a 6 on one die and a 2 on the other?
1/36
Carlos is practicing shooting free throws. Carlos is pretty good at basketball, so he makes free throws 75% of the time. What is the probability that he makes 4 free throws in a row, assuming he has no distractions and does not get tired.
Determine whether this is independent or dependent, and then find the probability of making 4 free throws.
independent
81/256
Simplify the following fraction:
3/19
3/19
Draw a tree diagram of all the possible combinations of Ice Cream and Topping. Then determine the theoretical probability of someone randomly selecting Mango Ice Cream with Gummy Bears.
| Ice Cream | Topping |
|---|---|
| Vanilla | Hot Fudge |
| Chocolate | Gummy Bears |
| Mango |
1/6
What is the probability that a number greater than 2 is rolled on a six-sided number cube AND a heads is flipped on a coin?
1/4
There is a bag that holds 3 apples, 3 oranges, and 2 bananas. What is the probability that a person randomly selects an apple, eats it, a banana eats it, and then another apple if she replaces the fruit each time?
Determine whether this is independent or dependent and then solve.
Independent
9/256
12000/300000
1/25