There are 2 urns. The first one has 4 red balls and 6 black balls. The second has 5 red balls and 4 black balls. A ball is chosen at random from the 1st and put in the 2nd. Now a ball is drawn at random from the 2nd urn. Find the probability it is red.

Q: Suppose a jar contains 6 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: A bag contains 4 red balls and 6 black balls. 2 balls are chosen at random one by one without…

A: 4 red  6 black _____________ 10 total balls    select 2 balls at random without replacement P(both…

Q: Urn A contains 3 white, 5 red and 2 black marbles. Another urn B contains 3 white, 2 red and 2 black…

A: Ans#- Given,  Urn A contains 3 white, 5 red and 2 black marbles.            Another urn B contains 3…

Q: A basket contains 7 red marbles annd 3 white marbles. Three marbles are drawn one after the other.…

A: Here, the sampling method is not specified. The required probability is calculated based on sampling…

Q: Suppose a jar contains 12 red marbles and 30 blue marbles. If you reach in the jar and pull out 2…

A: Solution: From the given information, a jar contains 12 red marbles and 30 blue marbles. Total…

Q: A bag contains 3 white, 4 black and 5 red balls. Three balls are dra random one after another…

A:

Q: Suppose a jar contains 5 red marbles and 31 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: Suppose there are 3 white balls, 4 black balls and 2 red balls in a box.  If one ball is randomly…

A: Number of white ball in box = 3  Number of black ball in box = 4  Number of red ball in the box =2…

Q: What is the probability that the three balls drawn are the same color

A: we are given that there are 5 black and 7 green balls balls are drawn thrice and the drawn balls are…

Q: There are 2 blue balls, 1 white ball and 3 red balls in an urn. 2 balls are drawn at random. Find…

A: It is given that Number of blue balls = 2 Number of white balls = 1 Number of red balls = 3 Total =…

Q: The box contains 4 blue, 7 red, 6 green and 3 yellow highlighters. A highlighter is picked at random…

A: There are total (4+7+6+3)=20 highlighters. Among them (4+7)=11 highlighters are blue or red.

Q: There are 4 white, 3 black , 2 red balls in box. 3 balls are drawn at random. Find the probability…

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Q: From a bag containing 4 black balls and 5 white balls, two balls are drawn. Find the probability…

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Q: Suppose a jar contains 8 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Probability: The ratio of the number of favorable outcomes to certain event and total number of…

Q: uppose a jar contains 12 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: Solution: Given information: Red marbles = 12 Blue marbles = 36 Total marbles = 12+36 Total marbles…

Q: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 4 white and 1 black, 3rd – 2 white…

A: E1: Box 1 P(E1) = 1/3 E2: Box 2 P(E2) = 1/3 E3: Box 3 P(E3) = 1/3 A: The ball is white P(A|E1) = 2/3…

Q: Find the probability that the transferred ball was black.

A: Let us define some events A : black ball was transferred. B : red ball was transferred. E : red ball…

Q: A bag contains 6 white and 4 black balls and a second one 4 white and 8 black balls. One of the bags…

A: GivenA 1st bag containsNo.of white balls = 6No.of black balls = 4a 2nd bag containsNo.of white balls…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

A:

Q: Suppose a jar contains 6 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A:

Q: Suppose a jar contains 6 red marbles and 25 blue marbles. If you reach in the jar and pull out 2…

A: There are 6 red and 25 blue marbles to find probability that both are red.

Q: A box has 12 balls, 4 are red and 8 are green.  Randomly choose 3 balls from the box without…

A: We have given that,  Total balls = 12  Red balls = 4  Green balls = 8  Then,  We will find the…

Q: Suppose a jar contains 18 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: Suppose a jar contains 20 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Givena jar containsNo.of red marbles=20No.of blue marbles=35Total no.of marbles=55

Q: Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One ball is…

A: Let us assume that E1,E2 and M are events such that, E1=Ball transferred from Bag A to Bag B is…

Q: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 3 white and 1 black, 3rd – box 2…

A: The tree diagram corresponding to the distribution is shown below.

Q: What is the probability that the two balls taken out at random from the box are one white ball and…

A: It is given that  White balls = 3 Red balls = 3 Total balls = 6

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: A box contains 5 red, 3 white and 6 blue balls. If 3 balls are drawn at random without replacement,…

A:

Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…

A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…

Q: Find the probability that the first coin is a nickle given that the second coin is a quarter.

A: It is given that No. of quarters = 2No. of dimes = 1No. of nickels = 3Total coins = 6

Q: A bag contains 5 white and 4 black balls. Two balls are drawn at random one after the other without…

A: Given information: There are 5 white balls and 4 black balls Total number of balls is 5+4=9 Two…