Q2 There are N boxes on the table each containing m white and n black balls. Assume you pick randomly one ball from the first box and put it in the second box. Then you pick randomly a ball from the second box and put it in the third box. The process is repeated until you pick randomly a ball from the last, the N-th box. a) Find probability that the third ball you pick is white if the first picked is black. b) Find probability that the last ball you pick is white if the first picked ball is black. If you are not able to simplify the final answer, partial credit will be given for the expression.

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

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Q: We have 6 red ball and 4 blue balls. We are taking 3 balls to the park. a) find the probability…

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Q: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

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: What is the probability that the ball is red?

A: Let us define some events A : two white balls are drawn from box1. B : one white and one red ball…

Q: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

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Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is…

A: bag 1   4 red , 3 black =7 total balls     bag 2  2 red ,4 black = 6 total balls     select 1 bag at…

Q: A person wrote n letters, sealed them in envelopes and wrote the different addresses randomly on…

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

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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: A spinner board consists of six equal parts number 1 to 6. The spinner is spun twice. Find the…

A: There are total 6 equal parts in spinner, from 1 to 6.

Q: bag B contains 2 red and 5 green balls. Two balls will be drawn randomly from bag A and they will be…

A: Bag  A Red 3 Green 4   Bag  B Red 2 Green 5 Step -1: Consider all possible events…

Q: A jar contain 3 pennies 2 nickels and 6 dimes. A child selects 2 coin at random without replacement…

A: Given data: The numbers of pennies in the jar are: P=3. The numbers of nickels in the jar are: N=2.…

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 educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

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: 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: In a class of 15 students there are 5 boys and 10 girls If a committee of 6 students is selected at…

A: 5 - boys 10 - girls ____________ 15 - students in class select committee of 6 students. p( 3 boys…

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

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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: Three cards are selected at random from the standard pack of 52 cards. Find the probability that 2…

A: Solution-: We find probability that 2 jacks when 3 cards are selected at random from the standard…

Q: Calculate the probability that at most 2 of the roses were Eden Roses.

A: let Number of eden roses = X

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: selected bag, one ball is drawn.Find the probability that the ball drawn is red.

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Q: A person randomly picks one of the numbers 1, 2 or 3, with identical probability each, and then…

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Q: A bag contains 9 white and one black ball. Three of them are taken out at a time from the bag. Find…

A: According to the provided question, A bag contains 9 white balls and 1 black ball Total balls = 9+1…

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: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: Total number of balls in the jar is 23 (5 +3 + 8 + 7) and number of green ball is 8. The probability…

Q: We have an urn with 5 red balls, 7 green balls and 4 white balls. Assume the probability of each…

A: We have an urn with 5 red balls, 7 green balls, and 4 white balls. Assume the probability of each…

Q: 3. You pick a coin at random from a bag that contains 3 quarters, 2 dimes, and 1 nickel Then you…

A: Given data: Total number of coins = 6  Number of Quarters = 3 Number of Dimes = 2 Number of Nickle =…