First box contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. Given that the ball selected is green, what is the probability it was selected from the second box?

Q: One of two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two…

A: Obtain the probability that it is green if a ball is selected at random from the box. The…

Q: To reduce laboratory costs, water samples from three public swimming pools are combined for one test…

A: Given information Probability that the swimming pool has bacteria = 0.008 Probability that the…

Q: Three boxes contain red and green balls. Box 1 has 5 red balls and 5 green balls, Box 2 has 7 red…

A: It is given that there are three boxes contain red and green balls. Box 1 contains 5 red balls and 5…

Q: Three cooks Mohsin, Khurram, and Shahid bake a special kind of cake. In the restaurant where they…

A:

Q: Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store…

A: Given that Total number of boxes = 64 Number of boxes with secret decoder ring = 23 Number of boxes…

Q: The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 20%…

A: A = tornadoes B = monsoon

Q: Assume that the chances of a patient suffering from high blood pressure is 60%. It is also assumed…

A: 6. Let A, E1, and, E2 respectively denote the events that a person suffers from high blood pressure,…

Q: Q2: Box 1 contains 30 red and 70 white balls, box 2 contains 50 red and 50 white balls, and box 3…

A: The probability that an even Ai (i=1(1)n) will occur given that a event B has already occurred is…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 10 seeds are planted,…

A:

Q: Box A contains 5 red balls and 4 white balls. Box B contains 6 red balls and 5 white balls. If one…

A: The question is about Bayes' theorem Given : Box A : No. or red balls = 5 No. of white balls = 4 Box…

Q: Smith knows that for the afternoon shift 5% of all welds done will be substandard. If he checks 300…

A: Let us denote X= the number of substandard weldsn=sample size=300p=probability of getting a…

Q: On the first day of a UCOR 1200 class, a teacher asks each student to shake hands with each of the…

A: Given information: P(Transmission) = 0.10 Total number of students = 17 Number of infected students…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Given that, Probability(grow) = 95% = 0.95 Probability(don't grow) =  0.05 Sample size = 12

Q: Suppose, Tonmoy, Sneha and Rashed are three friends who applied for a job in a company where the…

A: Given probability distribution is   P(T) =2/3 P(S) =1/3 P(R) =4/7

Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…

A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…

Q: A Chartered Accountant applies for a job in two firms X and Y. He estimates that the probability of…

A:

Q: Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store…

A: The probability that both of them have the secret decoder ring is,

Q: A manufacturer of pins knows that 5% of his product is defective. If he sells pins in boxes of 100…

A:

Q: The heavy weather service predicts that for tomorrow there is a 60% chance of tornadoes, a 30%…

A:

Q: A coin is loaded so that the probabilities of heads andtails are 0.52 and 0.48, respectively. If the…

A: Let H be event of heads and T be the event of tails. It is given that P(H)=0.52 and P(T)=0.48 It is…

Q: One ball is drawn at random from a bag containing 5 red balls and 7 white balls. (Enter your…

A:

Q: An engineering professor acquires a new computer once every two  years. The professor can choose…

A: Given that An engineering professor acquires a new computer once every two years. The professor can…

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A:

Q: One of two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two…

A: Given, Box 1:Red Balls = 4Green Balls =2Box 2:Red Balls = 2Green Balls =4 P(Box1)=13P(Box2)=23

Q: SUPPOSE THAT YOU JUST RECEIVED A SHIPMENT OF SIX TELEVISIONS AND TWO  ARE DEFECTIVE. . IF TWO…

A: Given: Number of defective= 2 Total =6

Q: A doctor uses a new test for coronavirus. If the patient has the virus, the test gives a positive…

A: It is given that, P(Virus) = 0.03, hence, P(No Virus) =0.97.  P(Positive | No Virus) 0.04,…

Q: First box contains 4 red balls and 2 green balls and the second box contains 4 green and two red…

A: The following is the formulae for Bayes' theorem of two events…

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 8 seeds are planted,…

A: We have given that  Number of trials n=8 Success of probability p =0.40 Failure of probability q=…

Q: A new surgery is successful 80% of the time. If the results of 6 surgeries are randomly sampled,…

A:

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 12 seeds are planted,…

A:

Q: A housing company has ordered supplies of construction materials from three different suppliers. The…

A: The following information has been given: The probability that supplier A will deliver the materials…

Q: Every morning a math instructor picks out two socks completely at random from his closet; there's…

A:

Q: When Mitchell drives back home from campus, he has to pass through two sets of traffic lights. The…

A:

Q: Three boxes contain red and green balls. Box 1 has 5 red balls and 5 green balls, Box 2 has 7 red…

A: Let A, B, C are the probabilities of choosing a box. PA=14, PB=12,PC=14

Q: To reduce laboratory costs, water samples from five public swimming pools are combined for one test…

A:

Q: It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch…

A: a)  M=watch the mastersB=watch the british opensP(M)=0.63P(B)=0.48P(M|B)=0.78 The probabilities…

Q: A bag contains 5 red balls and 3 white balls. If 3 balls are drawn with replacement from the bag,…

A:

Q: . From his past data, it is known that the probability of him coming through car, bus, motorbike and…

A: Denote the following events: L : Hamza arrives late in the office. E1 : Hamza comes to office…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 8 seeds are planted,…

A:

Q: One ball is drawn at random from a bag containing 2 red balls and 8 white balls. (Enter your…

A: Given that the bag containing 2 red and 8 white balls. One ball is drawn at random. The objective is…

Q: Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store…

A: Given information 12 of the 56 boxes have the secret decoder ring 2 box is randomly selected.

Q: Suppose we build a taco-making machine. But there is a fatal flaw in the machine, where for each…

A: Let X be that taco is toxic The probability that 5% of them are toxic , therefore p=0.05 therefore…

Q: of the plants offered in a local garden and craft center, 18% are poinsettias and are artificial.…

A: Obtain the probability if a plant is selected at random it is artificial. The probability if a plant…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 6 seeds are planted,…

A: Given that If a seed is planted, it has a 80% chance of growing into a healthy plant. If 6 seeds are…

Q: Assume that the chances of a patient suffering from high blood pressure is 60%. It is also assumed…

A: Probability The term probability is defined as the chance of occurrence of an event. The probability…

Q: First box contains 4 red balls and 2 green balls and the second box contains 4 green and two red…

A: Given          Box 2                          Box 1  Let event E1→Selecting box 1E2→Selecting box…

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: Box A has 7 black and 4 white marbles box B has 7 white and 4 black marbles case 1: white marble is…

Q: In a bolt factory, machines A, B, C manufacture 30%, 30%, 40% of the total output respectively. From…

A:

Q: Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair…

A: Let B1 be the probability of drawing the marble from box I and B2 be the probability of drawing a…