Probabilities of compound events
If you roll two fair six-sided dice, what is the probability that both dice show an odd number?
What is 9/36
Brunette College offers 4 math classes, 2 science classes, 3 language classes, and 5 art classes. Sylvia needs to sign up for exactly one class in each subject.
How many different combinations of classes does Sylvia have to choose from?
What is 120?
Is this event likely, unlikely, possible, certain, or impossible?
An elephant fitting through a doorway?
what is Impossible?
A student is trying to predict what kind of ice cream each of her 10 friends will choose at her birthday party. Her friends can choose from one of the following flavors: chocolate, vanilla, strawberry, or cookies-n-cream. Which of the following simulations could the student use to make her prediction?
a) Roll a six-sided die 10 times.
b) Flip four coins 10 times.
c) Spin a spinner with four equal different colored sections 10 times.
d) Draw either a heart, a diamond, a spade, or a club from a deck of cards 10 times, with replacement.
What is:
c) Spin a spinner with four equal different colored sections 10 times.
and
d) Draw either a heart, a diamond, a spade, or a club from a deck of cards 10 times, with replacement.
If you flip three fair coins, what is the probability that you'll get all three heads?
What is 1/8
Oula is going on an outdoor expedition with his family. The expedition will include a hunting event, a fishing event, a hiking event, and a camping event. There are 6 hunting, 7 fishing, 4 hiking, and 3 camping events for Oula's family to choose from.
How many different outdoor expeditions are possible?
What is 504?
Is this event likely, unlikely, possible, certain, or impossible?
A triangle with 3 sides
What is certain?
Sandybrook Community Center is having its annual fundraiser raffle. Kayla buys 6 tickets, and she estimates that each one has a 1% chance of winning a prize basket. How likely is it that Kayla will win at least one prize basket?
a. Create a spinner with 6 equal sections, each labeled with a different number from 1 to 6. Spin the spinner 6 times. Each time it lands on 1, it represents Kayla's ticket being picked.
b. Create a deck of 100 cards, each labeled with a different number from 1 to 100. Pick a card, then return it to the deck, 6 times. Each time a 1 appears, it represents one of Kayla's tickets being picked.
c. Use a computer to randomly generate 10 numbers from 1 to 100. Each time a 6 appears, it represents one of Kayla's tickets being picked.
What is:
b. Create a deck of 100 cards, each labeled with a different number from 1 to 100. Pick a card, then return it to the deck, 6 times. Each time a 1 appears, it represents one of Kayla's tickets being picked.
If you flip three fair coins, what is the probability that you'll get at least two heads?
4/8 or 1/2
Rossi is planning a date with his girlfriend. He plans for them to watch a movie, go out to dinner, and then attend a sporting event. He decides between 10 movies, 4 restaurants, and 2 sporting events.
How many different dates can Rossi plan?
What is 80?
Is this event likely, unlikely, possible, certain, or impossible?
Having a bad dream tonight.
What is unlikely?
Each pack of Triple Square Taffy has 3 pieces of fruit-flavored taffy. Pedro's favorite flavor is strawberry, but there's only a 25% chance that each piece will be that flavor. He buys a pack of Triple Square Taffy at the convenience store. How likely is it that all of the taffy pieces are strawberry?
Which simulation could be used to fairly represent the situation?
a. Create a deck of 25 cards, each labeled with a different number from 1 to 25. Pick a card, then return it to the deck, 3 times. Each time a multiple of 5 appears, it represents a strawberry taffy.
b. Use a computer to randomly generate 4 numbers from 1 to 3. Each time 1 appears, it represents a strawberry taffy.
c. Flip a pair of coins 3 times. Each time the coins both land on heads, it represents a strawberry taffy.
What is?
Flip a pair of coins 3 times. Each time the coins both land on heads, it represents a strawberry taffy.
There are 4 possibilities for the coins: two heads, two tails, heads, and tails, or tails and heads. The probability of a strawberry taffy in this simulation is 1/4. The coins are flipped 3 times, once for each taffy piece in the pack.
Tiles with the numbers 1 through 15 are placed in a bag. What is the probability of choosing an even number that is greater than or equal to 8?
What is 4/15
Julius is going to have a multi-course meal. The following table shows how many different dishes are offered for each course.
Course and number of dishes: Appetizer-3, Main Course-4, and Dessert-3
How many meals can he have?
What is 36?
Is this event likely, unlikely, possible, certain, or impossible?
Visiting family and friends on the weekend
What is possible?
Mackenzie signed up for the paintball target challenge at Color Blast Castle. To win a free game of paintball, she needs to hit the target on at least 4 of her 5 tries. Mackenzie has good aim and can hit a target 80% of the time. How likely is it that Mackenzie will win a free game of paintball?
Which simulation could be used to fairly represent the situation?
a. Create a deck of 80 cards, each labeled with a different number from 1 to 80. Pick a card, then return it to the deck, 5 times. Each time 80 appears, it represents Mackenzie hitting the target.
b. Flip a coin 5 times. Each time the coin lands on heads, it represents Mackenzie hitting the target.
c. Use a computer to randomly generate 5 numbers from 1 to 5. Each time a number other than 1 appears, it represents Mackenzie hitting the target.
What is:
c.Use a computer to randomly generate 5 numbers from 1 to 5. Each time a number other than 1 appears, it represents Mackenzie hitting the target.
The computer can generate 5 numbers, 4 of which are numbers other than 1. The probability of Mackenzie hitting the target in this simulation is 4/5. The computer generates 5 numbers, one for each try.
You're at a clothing store that dyes your clothes while you wait. You get to pick from 4 pieces of clothing (shirt, pants, socks, or hat) and 3 colors (purple, blue, or orange).
If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with socks that aren't blue?
What is 2/12 or 1/6
A snowball stand sells 4 different size snowballs: x-small, small, medium, and large. A snowball will come with 5 different toppings: condensed milk, chocolate, whipped cream, blueberries, and strawberry glaze. How many unique ways can you order a snowball?
What is 20?
Which choices are possible but unlikely?
a, My parents will win the lottery tomorrow.
b. I will finish 2 extra large pizzas for dinner tonight.
c. Magically turning into a lion
d. I will eat ice cream in the winter.
e. I will grow fins
f. It is dark at 10 am.
What is:
a. My parents will win the lottery tomorrow.
b. I will finish 2 extra large pizzas for dinner tonight.
d. I will eat ice cream in the winter.
or
Read the story.
Regan plays on the school softball team. She gets a hit 20% of the time. If Regan goes up to bat 3 times during a game, how likely is it that she'll get at least one hit?
Which simulation could be used to fairly represent the situation?
a. Use a computer to randomly generate a number from 1 to 100. If the number is at most 20, it represents Regan getting a hit.
b. Create a deck of 20 cards labeled with a different number from 1 to 20. Pick a card, then return it to the deck, 3 times. Each time a 20 appears, it represents Regan getting a hit.
c. Create a spinner with 5 equal sections. Color 1 section red and 4 sections blue. Spin the spinner 3 times. Each time the spinner lands on the red section, it represents Regan getting a hit.
What is:
c. Create a spinner with 5 equal sections. Color 1 section red and 4 sections blue. Spin the spinner 3 times. Each time the spinner lands on the red section, it represents Regan getting a hit.