Sample Spaces
Simple Events
Compound Events
Making Predictions
Replacements and Complements
100
A shop sells 4 ice cream flavors (chocolate, vanilla, strawberry, mint), 3 sauces (caramel, chocolate, strawberry), and 2 toppings (sprinkles, nuts).
How many total combinations are possible
(1 flavor + 1 sauce + 1 topping)?
24 combinations
100
What is the probability of rolling a die and getting a 3?
1/6
100
What is the probability that the spinner below lands on an even and I flip a coin and it lands on heads?
3/12=1/4
100
How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?
Henry can expect to roll a 4 about 20 times out of 120 rolls.
100
Mark has a bag with different flavors of candy. The bag contains 4 cherry, 3 lemon, 7 watermelon, and 2 grape candies. What is the complement of selecting a grape candy?
The complement event is selecting a candy that is not grape (cherry, lemon, or watermelon).
The probability of the complement is 7/8.
200
Three dice are rolled at the same time. How many combinations of numbers can there be?
216 combinations
200
What is the probability of choosing a month of the year that has 31 days?
7/12
200
A coin is tossed, then a day of the
week is selected. What is the
probability of getting tails then a
day starting with the letter S?
2/14=1/7
200
Sydney has index cards numbered 1 through 10 and determines that the probability of drawing a “4” is 3 out of 10. If she draws cards 100 times, how many times can she expect to draw a “4”?
Sydney can expect to draw a “4” about 30 times out of 100 draws.
200
A box of pizza contains:
3 cheese slices, 7 pepperoni slices, and 5 supreme slices.
Mark eats a random slice, then grabs another. What is the probability that he chooses pepperoni the first time and the second time?
7/15*6/14=1/5
300
A student chooses an outfit from 4 shirt colors (red, blue, green, white), 3 pants colors (black, khaki, gray), 2 shoe choices (sandals or sneakers), and 2 hat choices (cap, no cap).
How many total outfit combinations are possible?
48 combinations
300
What is the probability that the spinner lands on a factor of 6?
4/8=1/2
300
A bag contains 25 red chips, 18 blue chips, and 29 yellow chips. A chip is selected, replaced, and then another chip is chosen. Find the probability of choosing a yellow and a blue.
29/72*18/72=29/288
300
Will has a spinner with six equal sections numbered 1 through 6. if will spins the spinner 150 times, how many times can he expect to spin a number less than 5?
Will can expect to spin a number less than 5 about 100 times out of 150 spins.
300
Lila spins a Thanksgiving spinner with 8 equal sections labeled:
Turkey, Pie, Corn, Stuffing, Cranberries, Gravy, Pumpkin, and Bread.
What is the probability that the spinner does not land on a food that starts with the letter “P”?
P(notP)= 1 − 2/8 = 6/8 = 3/4
400
A card is selected from a deck of 52 playing cards, a dice is rolled, and a coin is flipped. How many combinations can there be?
624 combinations
400
What is the probability that you pull a 5 or a 7 from a deck of 52 cards?
8/52=2/13
400
A bookshelf contains:
9 mysteries, 7 biographies, and 4 science fiction books.
Find the probability of selecting a biography, NOT replacing it, and then selecting a mystery.
7/20*9/19=63/380
400
Jim tosses a biased coin 50 times, and it lands on heads 30 times. If he tosses the coin 20 more times, what is a reasonable prediction of the difference between the number of heads and tails he will get?
A reasonable prediction is that Jim will get 4 more heads than tails in the next 20 tosses.
400
Carter is handing out Valentine's Day cards to his friends. He has:
8 Batman cards, 12 Superman cards, and 5 Captain America cards.
What is the probability that the first two he gives out (not replaced) are Batman?
6/25*7/24 = 56/600
56/600 = 7/25
500
You have a jar with 4 red marbles, 2 blue marbles, and 7 black marbles. You pull a marble from the jar, record the color, then put it back. You repeat this 5 times. How many combinations of colors can you make?
There are 243 possible combinations of colors you can make in 5 draws with replacement.
500
What is the probability of the spinner landing on an odd number or primary color?
4/6=2/3
500
What is the probability of flipping a coin and getting heads, rolling a dice and getting an odd number, and spinning the spinner and getting a 3?
1/2*3/6*1/6=1/24
500
At a school carnival, Jenna spins a spinner with 5 equal sections labeled A, B, C, D, and E.
During practice, she spins the spinner 60 times and it lands on C exactly 18 times.
If she plays the game 200 times during the carnival, how many times can she reasonably expect the spinner to land on C?
Expected number of times landing on C: 60 times
500
Diedra rolls an unbalanced die 72 times and gets a “6” 24 times. If she rolls the die 15 more times, what is a reasonable prediction of the number of times she will NOT roll a “6”?
A reasonable prediction is that Diedra will not roll a 6 about 10 times out of the next 15 rolls.