Suppose you are going to form a committee of students and faculty. You have 12 total students and 24 total faculty to pick from. You want to have 7 total people on the committee. What is the probability that you select 2 students and 5 faculty, in that order? Enter your answer rounded to three decimals.

Q: You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once.…

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Q: Sarah is about to draw a card at random from a standard deck of 52 playing cards. If he draws a…

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Q: A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah.…

A: To Determine: The probability that Sarah is selected to be on the three-person committee.

Q: Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

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Q: e numbered 1, 2,  and 3. Three black cards are numbered 4,  5,  and 6. The cards are placed in a box…

A: Given: n(red) = 3 (1,2,3) n(black) = 3 (4,5,6) n(drawn) = 1

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the five of…

A: We have given that probability of selecting the five of spades or the three of clubs We have to find…

Q: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing…

A: We have given information, A standard deck have 52 cards. We draw two cards without replacing the…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: You draw two cards from a standard deck of 52 cards and replace the first one before drawing the…

A: Total cards = 52 Probability of getting king, There are total 4 kings So P(King)= 4/52 = 1/13…

Q: Find the probability of getting a sum of 9 when you roll a pair of dice. the answer is

A: if you roll a pair of dice than the possible out comes aren(s)=36The possible out comes that a sum…

Q: Maya bought 8 seeds in order to plant a herb garden for her grandma. Of the seeds she bought, 6 were…

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Q: An office has 7 men and 6 women employees.  Three employees are picked at random for a trip to…

A: 7 men 6 women  ____________ 13 total employees select 3 at random  P(2 males and 1 female) = ?

Q: Jan has a bag of 12 marbles, consisting of 4 red marbles and 8 blue marbles. If Jan randomly…

A: Given information: Total number of marbles in a bag=12. Number of red marbles in the bag= 4. Number…

Q: You order 13 pizzas, five that are cheese and eight that are mushroom. They arenot labelled on their…

A: There are total 13 boxes.  We can pick any 5 boxes from those 13 boxes in 13C5 ways.    If we want…

Q: Six free tickets to a Manchester United match at Old Trafford will be shared by drawing lots among…

A: Given that: Number of tickets = 6 Number of boys = 10 Number of girls = 8 Each student can win at…

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

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Q: One card is selected at random from a deck of cards. Determine the probability that the card…

A: Given that one card is selected at random from a deck of cards.

Q: Find the probability of selecting a black card or a 6 from a deck of 52 cards.

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Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: Find the probability of selecting either a heart or a face card from a 52 card deck.

A: There are total 52 cards in a deck. In that 52, 13 cards are hearts. And total of 12 face cards are…

Q: In deandres cooler there are 5 bottles of soda and 4 bottles of water. Deandre is going to choose 5…

A: Probability is equal to the number of favorable outcomes divided by the total number of possible…

Q: An office has 6 men and 12 women employees.  Three employees are picked at random for a trip to…

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Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies. You grab a handful of 9…

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Q: The picture hows a family that has had nine girls in a row. Find the probability of this occurrence.

A: Given: Number of girls in a family = 9 Assuming that no other child is born other than 9. Also,…

Q: You have a homework assignment that contains 12 questions. Your instructor will grade a set of 5…

A: Given: Total number of questions, n = 12            5 questions would be graded Part 1: The total…

Q: A bag contains 3 red and 6 blue balls. You draw one ball and then another without replacement. What…

A: Total number of red balls in the bag is 3. Total number of blue balls in the bag is 6.

Q: A teacher chooses 4 different students to answer questions. There are 21 sophomores and 8 freshman.…

A: Given, No. of shopemores=21 No. of freshman=8 Total number of students=21+8=29 No. of students…

Q: A jar contains 3 red, 2 white, and 5 blue marbles. What is the probability of selecting two marbles…

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Q: Finn, John, Andrew, and Eddie are going to have a movie night this weekend. Together, they have 30…

A: It is given that together they have 30 movies.  So, out of 30, 4 movies can be chosen in 30C4 =…

Q: Mario has a number cube with wife’s numbered 1 through 6. He rolls the number cube twice. He rolls…

A: Solution of this question is