A box contains 4 white, 2 red and 4 black balls. Another contains 1 white, 4 red and 3 black balls. One ball is selected from each box. What is the probability that balls will be of the same color?

Q: What is the probability that a couple will have a total of 8 children, 5 males and 3 females?

A: Here use binomial distribution  Each trial independent  Finite number of trial  There are two…

Q: A bag contains 9 black, 5 red, 7 white, and 4 purple balls. What is the probability of choosing: A…

A: We A and B are mutually exclusive then  P(A or B )=P(AUB)=P(A)+P(B)

Q: Tarek reaches into a can that contains 30 25-fils coins, 25 10-fils coins, 40 5-fils coins and 15…

A: There are total (30+25+40+15)=110 coins.    Among them (30+15)=40 coins are 25-fils coin or a 1-fils…

Q: Determine the probability that a 5 card poker hand will have the king of spades, 6 of diamonds, ace…

A: There are 52 cards in a deck.  we can directly choose the king of spades in 1 way because there is…

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

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Q: There are 5 boys and 8 girls in a room. What is the probability that group of five have more boys…

A: There are 5 boys and 8 girls in a room.  TOTAL 13 people in room here use hypergeometric…

Q: Three people are selected for a committee from 4 Democrats and 3 Republicans. What is the…

A: Given Data: The number of democrats is: n=4 The number of republicans is: m=3 The number of people…

Q: A jar contains 5 red marbles 7 green marbles and 4 blue marbles.  What is the probability that you…

A: There are totally 16 marbles in a jar in which 5 red, 7 green, and 4 blue. The probability that…

Q: A bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green…

A: A bag contains 6 blue balls,5 red balls, 5 yellow balls& 4 green balls Total no. Of balls…

Q: bag contains 4 blue balls and 8 red balls. If two are drawn from the bag at random, what is the…

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Q: A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of…

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Q: A bag contains 5 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of…

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Q: A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of…

A: Given probability is evaluated.

Q: There are 7 red marbles, 5 blue, 3 green, and 9 yellow marbles in a bag. What is the probability of…

A: Solution: From the given information, there are 7 red marbles, 5 blue marbles, 3 green marbles and 9…

Q: four people are selected for a committee from 6 Democrats and 4 Republicans. What is the probability…

A: Total number of democrats are 6. Total number of republicans are 4. Total number of people selected…

Q: A bag or marbles contains 4 red marbles, 6 green, and 5 yellow. What is the probability of drawing a…

A: The probability of drawing a red = 415   The probability of drawing a red, keeping it, then drawing…

Q: A box contains 6 red balls, 4 white balls, 2 balls are drawn, what is the probability that the first…

A: Given dataA box contains 6 red balls and 4 white balls

Q: If a box has twenty balls, where three balls are red, twelve balls blue and the rest balls are…

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Q: errors per page, on average. What is the probability that on the next page, she will make 4 or more…

A: The mean is given as , μ=2. The formula for Poisson distribution is,PX=x=e-μμxx!. To determine the…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: A bowl contains 3 red chips and 4 white chips. Three chips are drawn from the bowl. What is the…

A: Given Information: There are 3 red chips and 4 white chips. Three chips are drawn from the bowl. The…

Q: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…

A: It is an important part of statistics. It is widely used.

Q: Brad has to select 5 students from a class of 43 girls and 21 boys. What is the probability that…

A: GivenNo.of girls in a class = 43No.of boys in a class = 21Total no. of boys = 64

Q: There are 3 couples, 3 women and 3 men and they are seated in a row. What is the probability that…

A: There are 3 couples in which 3 women and 3 men. The number of possible outcomes this 6 people can be…

Q: A company has 9 women and 8 men. What is the probability that a 7 person committee will have 4 men…

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Q: four people are selected for a committee from 4 Democrats and 3 Republicans. What is the probability…

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Q: A bag contains 8 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of…

A: Answer - A bag contains 8 red marbles, 3 blue marbles and 2 green marbles.                 Total = 8…

Q: A bag containing marbles has 4 red, 5 green and 6 yellow marbles. What is the probability of…

A: Given Data:   n(R)=4 n(G)=5 n(Y)=6   Total=6+5+4=15

Q: Suppose, a bag has 4 red balls and 6 blue balls. What is the probability of choosing 2 blue balls at…

A: There are a total of 10 balls, 4 red and 6 blue, out of which two blue balls are taken randomly.

Q: A person is dealt a 5 card hand. What is the probability that they get a pair of Queens or a pair of…

A: Total number of cards in a deck = 52 Number of kings = 4 Number of queens = 4 Number of cards drawn…

Q: What is the probability of having 2 spades and 3 hearts from the deck of cards?

A: Given data2 spades3 heartsTotal spades in a deck of card = 13Total hearts in a deck of card =…

Q: A bowl contains 8 Nips®, 3 blue, 1 yellow, 1 red, 1 green, and 2 black. If a child picks one Nips at…

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Q: Mario has 3 nickels , a dime, and 2 quarters in his pocket. What is the probability that he randomly…

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Q: A bag contains 7 red, 12 white and 4 green. balls. What is the probability that: (a) 3 balls drawn…

A: We have given that a bag contain 7 red, 12 white and 4 green balls. Total number of balls = 23…

Q: A bag contains 3 red marbles, 4 blue marbles , 9 yellow, and 5 green. What is the probability of…

A: Given that there are  3 red marbles, 4 blue marbles , 9 yellow, and 5 green. So there are total…

Q: Tara has two bags of marbles 6 red marbles, 5 blur marbles, and 4 green. the second bag contains 3…

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Q: A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: The composition of the Senate of the 111th Congress was: 41 Republicans, 2 Independents, and 57…

A: There are 41 Republicans, 2 Independents, and 57 Democrats.  Total number of senators is 41+2+57…

Q: A bag contains 6 red​ marbles, 2 blue​ marbles, and 1 green marble. What is the probability of…

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Q: If you are only dealt 4 cards froma shuffled deck of 52 cards, find the probability that all 4 cards…

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Q: A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks ... If 5 rocks are selected…

A: Given that  Shipment contains rocks  igneous = 10 Sedimentary = 8 Metamorphic = 8 Total rocks = 26…

Q: Determine the probability of the card being either red or a King when one card is drawn from a…

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Q: If I have a bag with 3 red, 4 white, 1 green, and 2 blue marble. What is the probability that I…

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Q: The United States Senate has 45 Republicans and 55 Democrats. If we need to make a committee of 10…

A: Number of Republicans = 45 Number of Democrats = 55 Number of people in a committee = 10

Q: Kambi has a bag that contains 5 black balls, 3 red balls and 2 blue balls. If he picks 2 balls at…

A: According to the question.  We have 5 black balls , 3 red balls and 2 blue balls. We have to find…

Q: Three people are selected for a committee from 5 Democrats and 3 Republicans. What is the…

A: Solution: Total people= 5 Democrats + 3 Republicans= 8 A committee of 3 people is to be formed by…

Q: A bag contains 5 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of…

A: A bag contains 5 red marbles, 6 blue marbles, and 2 green marbles. What is the probability of…

Q: A fish pond at a carnival contains 72 angelfish​, 105 goldfish​, 39 tetras​, and 144 cory cats. If…

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Q: There are 3 red shirts, 4 blue shirts, 1 black shirt and 2 grey shirts hanging in a closet. What is…

A: Given data, Red shirts=3 Blue shirts=4 Black shirts=1 grey shirts=2 Total shirts=10 P(Not Blue…