Two bolts are drawn from a box containing 6 good and 4 bad bolts. Find the probability that the second bolt is good if the first one is found to be bad?

Q: Suppose a jar contains 13 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: We have total number of marbles in the jar = 13 red marbles + 36 blue marbles = 49. We can pull out…

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: Suppose a jar contains 9 red marbles and 18 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, A jar contains 9 red marbles and 18 blue marbles. Total marbles = 9 +…

Q: Sophia and Daniel each have a bag containing all 26 letters of the alphabet. Sophia randomly takes a…

A: Given information: Number letters in each bag = 26 Let Sophia randomly takes a letter from her bag…

Q: A bag contains 2 red , 3 blue and 5 green marbles. Mike picks one marble from the bag , then picks a…

A: Given that the bag contains 2 red, 3 blue and 5 green marbles. Total number of marbles is 2+3+5=10.…

Q: Suppose a jar contains 14 red marbles and 20 blue marbles. If you reach in the jar and pull out 2…

A: Given, no of red marbles=14 no of blue marbles=20 Total marbles=34 P(both are red.)=?

Q: Suppose a jar contains 18 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: Given,no.of red marbles=18no.of blue marbles=21Total no.of marbles=39

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

A:

Q: If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that…

A: Total number of red marbles = 18 Total number of blue marbles = 26 Total number of marbles = 18+26 =…

Q: Box A contains 3 black and 2 red fuses, Box B contains 2 black and 4 red fuses. A box is selected at…

A: It is given that, box A contains 3 black and 2 red fuses and box B contains 2 black and 4 red fuses.

Q: If you are dealt 4 cards from the shuffle deck of 52 find the probability of getting three jacks and…

A: Obtain the probability of getting three jacks and one queen. The probability of getting three jacks…

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: Suppose a jar contains 15 red marbles and 27 blue marbles. If you reach in the jar and pull out 2…

A: 15 red marbles27 blue marblesThe total number of marbles in the jar is 15 + 27 = 42

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: Suppose a jar contains 5 red marbles and 11 blue marbles. If you reach in the jar and pull out 2…

A: Given that  The jar contains  Red marbles = 5 Blue marbles = 11 Total marbles = 5 + 11 = 16   We…

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: Suppose a jar contains 7 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: number of red marbles in a jar = 7 number of blue marbles in a jar = 37 total number of marbles in a…

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: Suppose a jar contains 8 red marbles and 23 blue marbles. If you reach in the jar and pull out 2…

A: To find the probability that both marbles are red when two marbles are drawn at random from the jar,…

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

A:

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of an ace…

A: P(an ace and a 3 being drawn)=?

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: two books are selected from a box containing 6 fiction and 8 nonfiction books. find the probability…

A: It is given that two books are selected from a box containing 6 fiction and 8 nonfiction books.…

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: Suppose a jar contains 8 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: A jar contains 8 red marbles and 10 blue marbles, Total number of marbles in the jar= 8+10=18

Q: Suppose you have 5 marbles in a bag: 3 red and 2 black. If you reach into the bag without looking…

A:

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…

Q: Suppose a jar contains 8 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, Red marbles in a jar = 8 Blue marbles in jar = 37 Total marbles = 8 +…