Topic: Probability using Permutations and Combinations A Math class consists of 14 girls and 15 boys. The teacher likes to have the students come to the board to demonstrate how to solve some of the Math problems. During a lesson, the teacher randomly selects 6 of the students to show their work. What is the probability that all 6 of the students selected are girls?

Q: At a school festival, a colored chip is randomly drawn out of a bag and replaced. The table below…

A: Probability is the chance of happening of certain event. Mathematically it can be calculated by…

Q: A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other without…

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Q: Find the probability. A bag contains 6 red marbles, 3 blue marbles, and 1 green marble. What is the…

A: Given: The bag contains 6 red marbles, 3 blue marbles, and 1 green marble. Total marbles: 6+3+1=10…

Q: You randomly choose a marble from a jar. The jar contains 4 red marbles, 11 blue marbles, 9 green…

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Q: A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes…

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Q: Loreli has a bag of bell peppers, & a coin. There are 3 red, 2 yellow, and 4 green What is the…

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Q: Find the probability of the given event. A bag contains 4 red marbles, 6 blue marbles, and 9 green…

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Q: Find the probability of the given event.A card drawn from a well-shuffled deck of 52 cards is an ace…

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Q: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. If one marble is drawn from the bag…

A: Given Information: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. Total number of…

Q: You have a bag containing 2 yellow and 3 blue blocks. You reach in and randomly pick a block, record…

A: Given,no.of yellow blocks=2no.of blue blocks=3total no.of blocks=5

Q: Suruchi has $1.64 worth of change in the bottom of her purse.              If she reaches into her…

A: Given: Total number of coins = 12 Number of nickel = 3

Q: Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below…

A: Given, flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The possible…

Q: in history class you are in a 5-member group that has to do a presentation on a past president. As a…

A: GIVEN DATA,in history class you are in a 5 member group that has to do a presentation on a past…

Q: the cafeteria, the probability of picking a banana is 42% and the probability of picking an apple is…

A: We have given that  P( picking an apple)=P(A)=(25%=0.25 P( picking an banana)=P(B)=42%=0.42

Q: Christina needs to make a painting for art class she can only choose two of the eigh colors listed…

A: Here total number of colors is 8. From 8  colours 2 colors can be selected in 8C2 ways. So all…

Q: You are playing a game with your friends. You have to choose a random card out of a standard deck of…

A: We have to find given probability..

Q: Your company is competing in a sealed-bid auction for a package of items your company values at…

A: Since the bids are said to be uniformly distributed between $20,000 and $30,000 it means that the…

Q: A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an…

A: The number of cards in a deck of cards is 52.

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Given,Number of red chips, n(red) = 5Number of blue chips, n(blue) = 3Number of orange chips,…

Q: How many outcomes are possible when you roll 3 dice?

A: Here, we need to find out the total possible outcomes to roll 3 dice.

Q: Dian's class there will be an election for class administrators. The board that will be elected…

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Q: you toss a coin 1000 times and record the results. You then look through your results and find that…

A: Given that a fair coin have been tossed equal to 1000 times.

Q: 1. What is the probability that he chose a banana and then a dalandan? 2. What is the probability…

A: Here use basic probability  Probability = (#Favorable outcome)/(#total outcomes)

Q: Kai and Paula are two of the five members of a singing group. Every week, the group picks two names…

A: Here Given  There is 5 members group And 2 members are chosen for each week.

Q: Two dice are thrown. Determine the probability of getting 4 points.

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Q: family has three children. Find the probability the family has at most 1 boy.

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Q: A desk drawer contains: 4 pairs of scissors, 10 paperclips, 5 rubberbands, 6 pens, 8 pencils, and 2…

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