An urn contains 6 white and 9 black balls. If 4 balls are to be randomly selected without replacement, what is the probability that the first 2 selected are white and the last 2 black?

Q: A very large pool consists of 26% Democrats, 33% Republicans, and the rest independents. What is the…

A: X~ Binomial (n , p)  p = 1 -.26-.33 = 0.41 ____________________________

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the…

A: Given data: The given percentage of democrats is D=28%. The given percentage of republicans is…

Q: A bag contains 3 white balls and 5 black balls. If two balls are drawn in succession without…

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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: An urn contains 10 red, 3 Black and 5 orange balls. If one ball is selected at random, what is the…

A: The solution to the question is explained below.

Q: A bag contains 3 Red and 4 Black balls, A ball is drawn at random from What is the probability that…

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Q: If 14% of active duty soldiers in the U.S. Army are women. Find the probability that none of the…

A: Let X be the number of women soldier in U.S army from binomial distribution with probability (p)=…

Q: Suppose a jar contains 17 red marbles and 14 blue marbles. If you reach in the jar and pull out 2…

A: Here, a jar contains 17 red marbles and 14 blue marbles. Select 2 marbles at random.

Q: An urn contains 4 black balls and 6 white balls. What is the probability of getting 1 black and 1…

A: We have given An urn contains 4 black balls and 6 white balls. We have to find, What is the…

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: If three balls are randomly drawn from a bow containing (6) white and (5) black balls, What is the…

A: Given that number of white balls are (W)= 6 And number of black balls are (B)= 5 Total number of…

Q: The mathematics department of a college has 13 male professors, 10 female professors, 6 male…

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Q: A box contains 10 red and 8 white marbles. If 8 marbles are to be chosen at random without…

A: Solution

Q: Suppose that all license plates in a state have three letters and then four digits. If a plate is…

A: There are 10 digits [0-9]  and 26 letters [A-Z]   We can pick each letter in 26 ways and each digit…

Q: The mathematics department of a college has 14 male professors, 15 female professors, 9 male…

A:

Q: An urn has 3 red, 5 white, and 3 blue balls in an urn and two are drawn one after another without…

A: It is given that an urn contains 3 red, 5 white, and 3 blue balls. Two balls are one after another…

Q: A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made…

A: The total number of women is 9.The total number of men is 6.The number of people selected at random…

Q: What is the probability that on a randomly selected day at least 6 fish will be caught if the…

A: Here mean = 4 fish per day

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: A bag of marbles has 10 red marbles ,24 blue marbles ,5 purple Mables and 17 green marbles if one…

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Q: An urn has 21 balls that are identical except that 8 are white, 8 are red, and 5 are blue. What is…

A: Given that ; An urn has 21 balls.  Total balls (n) = 21 White balls (w) = 8 Red balls (R) = 8 Blue…

Q: Suppose that 36% of people own dogs.  If you pick two people at random, what is the probability that…

A: Given that 36% of people own dogs.  Sample size, n = 2

Q: Assume that there are 8 white mice and 7 black mice to choose from, and you randomly pick 4 mice.…

A: It is given that, there are 8 white mice and 7 black mice. Thus, total mice  =8+7=15 We randomly pic…

Q: An urn contains 7 white balls, 4 red balls, and 4 blue balls. What is the probability of selecting 9…

A: Given that  An urn contains White balls = 7 Red balls = 4 Blue balls = 4 Total balls in urn = 7 + 4…

Q: An urn has 2 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Total number of balls in an urn,

Q: A very large pool consists of 22% Democrats, 39% Republicans, and the rest independents. What is the…

A: Given, P(Democrats) = 0.22, P(Republicans) = 0.39, P(independent) = 1-0.22-0.39 = 0.39

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: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

A: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

Q: An urn contains 4 red, 4 black, 6 blue and 2 green balls. If five balls are randomly selected from…

A: Given,no.of red balls=4no.of black balls=4no.of blue balls=6no.of green balls=2total no.of balls=16

Q: An urn has 2 red, 5 white, and 4 blue balls in an urn and two are drawn one after another without…

A: There are total (2+5+4)=11 balls in the urn. We can draw the first red from 11 balls in 2 ways We…

Q: There is a deck of 52 playing cards. The dealer draws without replacement and draws four cards. What…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

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

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Q: If 20% of the bolts produced by a machine are defective, determine the probability that out of 4…

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Q: If an urn has 10 white balls and nine red balls what is the probability that five randomly selected…

A: Total number of white balls = 10 The probability of white ball = 10/19 = 0.526   n = 5

Q: Two balls are selected at random from an urn that contains six black balls and six red balls. What…

A:

Q: An urn has 3 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Given information: Frequency of red balls in an urn, r = 3 Frequency of white balls in an urn, w = 4…

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

A:

Q: A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbels. If a single marble is chosen at a…

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Q: Basket contains 4 red marbles, 10 blue marbles, and 6 green marbles. If a blindfolded man selects 8…

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Q: Suppose a box has 40 marbles with 36 red and 4 black. If two marbles are selected without…

A: Given that Red marbles  = 36 Black marbles = 4 Total marble = 40

Q: Suppose an urn contains 8 red and 4 white balls. Draw two balls without replacement. What is the…

A: Solution: From the given information, an urn contains 8 red and 4 white balls. Total number of balls…

Q: If a committee of 5 senators are selected from the 100 members of the the U.S. Senate, what is the…

A: Given 100 members of US senate.Total states = 50.Total senates per state = 100/50 = 2The total…

Q: A bag contains 6 blue, 3 red and 2 black balls. If 2 balls are drawn at random from the bag, not…

A: Bag Contains : 6 blue,3 red and 2 black balls Total balls = 11   If balls are not replaced , then…

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. If two balls are drawn…

A: Given, An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. Total number of…

Q: A very large pool consists of 23% Democrats, 35% Republicans, and the rest independents. What is the…

A:

Q: A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is…

A: Given data; men in group= 20 Women  in group  = 17 Therefore; Total people  in group  = 20 +17  = 37…

Q: A box contains 6 defective bulbs and 10 functional bulbs. If 4 bulbs are to be chosen at random what…

A: Given ,           no. of defective bulbs = 6           no. of functional bulbs = 10         Total no…