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In a magic show, a magician has a stack of cards containing only the thirteen clubs from a standard deck. A volunteer from the audience picks a card from the stack and flips two coins to determine the next part of the trick. How many different possible outcomes are there for this part of the trick?
There are 26 possible outcomes. (13 possible outcomes for the card * 2 possible outcomes for each coin)
At a carnival booth, there's a spinner divided into five equal sections - blue, green, red, yellow, and purple. A player spins the spinner and then rolls a fair six-sided die. What are all the different possible outcomes for this game?
There are 30 different outcomes. (5 possible outcomes from the spinner * 6 possible outcomes from the die)
In a science experiment, there are two bags, each containing 10 tiles numbered 1 through 10. When one tile is chosen from each bag, there are 100 possible outcomes. What is the probability that the sum of the two numbers chosen is not 10?
The probability that the sum of the two numbers chosen is not 10 is 99%.
At a local fair, there's a dart game where players throw darts at a square board. Inside the square, there's a black circle. If the player's dart hits inside the black circle, they win a prize. What is the probability that a dart lands in the black circle?
The probability of landing a dart in the black circle depends on the relative areas of the black circle and the entire dartboard.
A school survey asked ninth graders about their gaming habits and sleep patterns. Of the 214 ninth graders who played video games every day of the week, 36 had trouble sleeping at night. What percentage of ninth graders who played video games every day experienced trouble sleeping?
Approximately 16.8% of ninth graders who played video games every day experienced trouble sleeping.
Imagine you have three $5 bills and four $10 bills in your wallet. If you randomly select two different bills from your wallet, what is the probability that you select a $5 bill second, given that you randomly selected a $10 bill first?
The probability depends on the ratio of $5 bills to $10 bills in the wallet.
At a local farmer's market, 75% of customers buy produce, 6% buy produce and meat, and 1% buy produce and flowers. What is the probability that a customer who buys produce also buys meat? What about flowers?
Approximately 8% of customers who buy produce also buy meat, and approximately 1% buy flowers.
You have a bag with three white golf balls and two yellow golf balls. If you randomly select one golf ball to hit now and another to place in your pocket, are the events of selecting a white golf ball first and then a white golf ball second independent?
Yes, the events of selecting a white golf ball first and then a white golf ball second are independent.
You roll a six-sided die two times. Using conditional probability, determine whether getting a 1 each time are independent events.
Yes, getting a 1 each time are independent events.
A principal surveys a random sample of high school students in three grades about their plans to attend the homecoming football game. Are attending the game and being a junior independent events?
Whether attending the game and being a junior are independent events depends on the data provided in the survey.
In a survey conducted in a neighborhood, 100 families with one child and 86 families with two or more children were asked whether they were saving for college. Of those surveyed, 94 families with one child and 60 families with two or more children were saving for college. How many families with one child were saving for college, and how many with two or more children were saving?
94 families with one child and 60 families with two or more children were saving for college.
In a bag, there are tickets numbered 1 to 16. What is the probability of choosing an odd number or a multiple of 4?
12/16
In the same bag of tickets numbered 1-16, what is the probability of choosing an even number or a factor of 25?
10/16
You have a rock band with nine recorded songs, but you only want to include five on your demo CD. How many different possible ways can you order the five songs on your demo CD?
There are 120 different possible ways to order the five songs on the demo CD.
At a game night, there are letter tiles G, H, I, J, and K. How many possible combinations of two letters can be chosen from this list?
There are 10 possible combinations of two letters chosen from the list.
You are given a bag of skittles with one red, one green, one yellow, and one purple skittle, as well as a coin. What are all the outcomes of grabbing one skittle and flipping a coin?
There are 8 possible outcomes of grabbing one skittle and flipping a coin.
There are two bags, each containing 5 tiles numbered 1 through 5. When one tile is chosen from each bag, there are 25 possible outcomes. What is the probability of selecting the same number from both bags?
The probability of selecting the same number from both bags depends on the specific numbers available in each bag and their distribution.
In a classroom, there are three different colored pens (red, blue, green) and two different types of notebooks (spiral-bound, composition). If a student randomly selects a pen and then randomly selects a notebook, how many different possible outcomes are there?
There are 6 possible outcomes (3 pens * 2 notebooks).
At a pizza restaurant, there are 4 different types of crust (thin, thick, stuffed, gluten-free) and 3 different toppings (pepperoni, mushrooms, olives). If a customer orders a pizza with one type of crust and one topping, how many different possible combinations are there?
There are 12 possible combinations (4 crusts * 3 toppings).
In a pet store, there are two types of pets available for adoption: dogs and cats. If a family is looking to adopt one pet, what is the probability they adopt a cat, given that they don't adopt a dog?
The probability depends on the ratio of cats to dogs available for adoption in the store.
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If two marbles are drawn without replacement, what is the probability that both marbles are blue?
The probability is 1/15
In a card game, a player is dealt two cards from a standard deck. What is the probability that both cards are face cards (jack, queen, king)?
11/221
At a school carnival, there are three games available to play: ring toss, bean bag toss, and balloon darts. If a student randomly chooses two games to play, what is the probability they choose ring toss first and then balloon darts second?
The probability depends on the total number of games available and their distribution.
In a survey of 50 students, 30 students said they prefer pizza, 20 students said they prefer burgers, and 10 students said they prefer both pizza and burgers. What is the probability that a randomly selected student prefers pizza or burgers?
.8 or 40/50
A jar contains 10 red candies, 8 green candies, and 6 blue candies. If three candies are randomly drawn from the jar, what is the probability that all three candies are the same color?
The probability depends on the number of candies of each color and their distribution in the jar.