A bowl contains 5 white balls, 10 red balls, and 15 blue balls. You are to randomly select two balls without replacement. You will draw one ball (and keep it outside of the bowl) and then you will draw a second ball. Is the event of drawing a red ball on the fırst draw independent of drawing a white ball on the second draw?

Q: A section of a test has four true-false questions. A completed test is selected at random and the…

A: To find out all the 16 outcomes:

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: In a poker hand consisting of 5 cards, find the probability of holding at most 2 red cards.   A…

A: Since you have asked multiple questions,we will solve the first question for you.If you want any…

Q: Suppose that four people are to be randomly selected from a group of 8 women and 5 men. What is the…

A: Given,Four people are to be randomly selected from a group of 8 women and 5 men.

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: 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: You Roll two fair dice, one white and one red. Find P(5 on white die and 3 on red die)

A: Given information Two fair dice One white and one red

Q: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…

A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…

Q: A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double…

A: There there are n Blue balls. So total balls = n+5 Probability of selecting red balls, P(R)= 5/(n+5)…

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: A person tossed a coin 8 times. In how many ways can he get 5 tails?

A: Given information- We have given that a person tossed a coin 8 times. We have to find the number of…

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips.

Q: Three people are selected randomly from a group consisting of 5 parents and 9 children. Find the…

A: Ans# - Given three people are selected randomly from a group consisting of 5 parents and 9 children.…

Q: A teacher will pick 1 student at random from 10 for the lead in a play. What is the probability of a…

A: Given Picked student = 1 Total sample space = 10  Formula used: Probability=favourable casesTotal…

Q: A. Find the probability that a green is drawn from B given that a red-green combination is drawn…

A: here define event  R  = red ball from bag A  G  = Green ball from A  R1 = Red ball from  B G1 =…

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: Three group of children contain respectively three girls and one boy; two girls and two boys; one…

A: Introduction :

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: You roll 2 fair dice, one green and one red. Are the outcomes on the dice independent.

A: Given that, Roll a  2 fair dice, one green and one red.

Q: A crate contains four black and five green bottles. Assume that you randomly draw three bottles from…

A:

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: Two boxes are selected randomly. The first box contains 2 white balls and 3 black balls. The second…

A:

Q: When two balanced dice are rolled, there are 36 possible outcomes.   Find the number of the sum is a…

A: The maximum sum= 12 for (6,6) And the minimum sum=2 for (1,1) So, in 2 to 12 the multiple of 3 are…

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

A: let Number of eden roses = X

Q: A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow roses.…

A: Given, A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow…

Q: An jar contains 3 red balls, 2 blue balls, and 5 white balls. A ball is selected and its color…

A: Given that  Total balls=3+2+5=10 Red balls=3 , Blue balls=2 , White balls=5

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: A bag contains 6 white and 4 black balls . two balls are drawn at random . Find the probability that…

A: Given: White balls = 6 Black balls = 4

Q: A bag contains 3 white balls and 5 red balls. If two balls are drawn at random, find the probability…

A: 3 white and 5 red balls

Q: A coin is tossed 9 times. Find the chance of getting 3 heads and 6 tails

A: Given that ; A coin is tossed 9 times i.e. n = 9 Let x be a head  i.e . X = 3  By using binomial…