Theoretical Probability
Experimental Probability
Making Predictions
Dependent or Independent Events
Probability of Compound events
100
Hint: successful outcomes/total outcomes
100
Hint: successful outcomes or trials/total trials
100
Hint: Find the probability, then multiply by the number of the next group.
100
Hint: Dependent events are affected by the event that came before. Independent events do not change their probability outcomes based on the earlier event.
100
Hint: Find the simple probability of each event and then multiply the two probablity fractions. Reduce the fraction, if needed.
200
1) Destiny's father has a large collection of ties. He has 20 ties, and 4 of them are paisley.
If Destiny's father chose a tie at random, what is the probability that the tie would be paisley?
Write your answer as a fraction in simplest form or as a whole number.
P(paisley) =
200
5) John is watching a baseball game. So far, 6 out of 8 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
Write your answer as a fraction in lowest terms or as a whole number.
P(hit)=
200
9) From a sample tray, 4 of the last 10 cake samples chosen were strawberry. Based on past data, of the next 20 samples taken, how many should you expect to be pieces of strawberry cake?
200
13) Bonnie and her little brother are coloring. Bonnie picks a crayon from the box and then her little brother picks one.
Are these two events dependent or independent?
200
17) What is the probability of rolling a three on the first die and a four on the second die?
300
2) Avery runs a day care center. Of the 14 children at the day care center, 6 of them are three-year-olds.
What is the probability that a randomly selected child will be a three-year-old?
Write your answer as a fraction in simplest form or as a whole number.
P(three-year-old) =
300
6) Tasty Things Bakery recently sold 20 desserts, including 2 slices of pie. What is the experimental probability that the next dessert sold will be a slice of pie?
Write your answer as a fraction in lowest terms or as a whole number.
P(slice of pie)=
300
10) Zoe supplies costumes to a number of theater companies. She recently provided 20 different hats, including 4 fedoras. Considering this data, how many of the next 15 hats requested from Zoe's inventory should you expect to be fedoras?
300
14) Rachel picks a card at random, puts it back, and then picks another card at random.
Are these two events dependent or independent?
300
18. What is the probability of both coins landing on tails?
400
3) There are 14 tables set up for a banquet, of which 4 have green tablecloths.
What is the probability that a randomly selected table will have a green tablecloth?
Write your answer as a fraction in simplest form or as a whole number.
P(green) =
400
7) A grocery store recently sold 10 cans of soup, 5 of which were lentil soup. What is the experimental probability that the next can sold will be lentil soup?
Write your answer as a percentage.
P(lentil) =
400
11) If you flip a coin 6 times, what is the best prediction possible for the number of times it will land on heads?
________times
400
15) Jill purchases a new car from a dealership in Springtown. An hour later, another customer buys a car at that same dealership.
Are these two events dependent or independent?
400
19) What is the probability of flipping tails and rolling a five?
500
4) You roll a 6-sided die.
What is P(not odd)?
Write your answer as a fraction in simplest form or as a whole number.
500
8) Boats from all along the Atlantic coast dock at a busy marina. Of the first 13 boats to dock at the marina one day, 5 were from North Carolina. What is the experimental probability that the next boat to dock will be from North Carolina?
Write your answer as a fraction in lowest terms or as a whole number.
P(North Carolina) =
500
12) If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a two?
500
16) Tyrone spins the spinner twice.
Are these two events dependent or independent?
500
20) A spinner has 8 sections, of which 3 are red. What is the probability of spinning a red and flipping a tails in a coin toss?
P(red and tails)=