A and B are playing a badminton match with the agreement that winner of each set will get 1 point and the loser 0 point. The match ends as soon as one of them is ahead by 2 points or number of 1 and sets reaches six. It is supposed that the probabilities of A and B winning a set are 3 respectively and each set is independent. Let Xi denotes the event that atleast i sets are played and Y and Z denotes the event that match has won by A and B respectively then Identify incorrect option -

Q: Homelander and Queen Maeve went on a rescue mission where a plane is hijacked by ter- rorists,…

A: GivenProbability of head =pProbability of tails =1-p Homelander save one person from plane when a…

Q: Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is…

A: Solution

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: 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: When 2 events are mutually exclusive then p (a or b)=

A: Suppose two events are a and b.

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

A:

Q: In a town, out of 200 families with 4 children each, find the percentage of families having (i) 2…

A:

Q: Find the probability that both of the marbles drawn are red

A: It is given that Number of red marbles = 8 Number of white marbles = 13 Total number of marbles = 8…

Q: The box contains b white, c black and p blue balls. Balls are randomly drawn from the box without…

A: b=white ballC=black ball p =blue ball

Q: Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn…

A:

Q: selecting box 2. A marble is drawn at random from one of the boxes turns out to be blue, what is the…

A: define events B=blue marble R=red marble X=first box, Y=second box  first box has 3 blue and 2 red…

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: Rico, Anna, Li, and John play online video games against each other. These games only involve these…

A: Here Given  Mutiplayeyers(4) are playing video games  Each game's result is  Independent of Each…

Q: the difference in the winning probabilities large? Why or why not?

A: Solution Given, there is one revolver which could carry up to m bullets and there are n bullets with…

Q: You and the enemy each have 200 drops of blood, you attack the enemy and drop a random integer…

A: You and the enemy both have 200 drops of blood.You initiate the attack by randomly dropping an…

Q: Find the probability that in a series of games that Rico wins 4 games, Anna wins 3 games, Li wins 5…

A: Here Given  In Video games 4 players Involved AND Probability of Winnings for Rico=P1=0.24…

Q: An office has 2 fire detectors. Suppose that 3 out of every 100 fire detectors will fail to go off…

A: It is given that, 3 out of every 100 fire detectors will fail to go off during a fire.

Q: Manny Pacquio and Juan Manuel Marquez fought 4 timesdebate of which Manny wins 2, 1 is won by…

A:

Q: Suppose you have 8 pairs of socks and 10 shirts in a drawer. Three of the pairs of socks are black…

A:

Q: You have 3 tops: green, white, and yellow. You have 2 pairs of pants: blue and black. You have 2…

A: Given data: The numbers tops are T=3. The numbers pants are P=2. The numbers of shoes are S=2.

Q: Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2…

A: Given data: The number of red balls in the first bag is rA=1. The number of white balls in the first…

Q: bread basket contains biscuits and muffins. There are half as many biscuits as muffins, the muffins…

A: Given: There are half Biscuits and Muffins. Three times Muffins are Blueberry than Raisin Muffins.

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: Suppose that X and Y have the joint probability mass function x+y P (X = x, Y = y) = , x = 1, 2, 3…

A:

Q: Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: For the multinomial distribution, we have more than 2 outcome which are mutually exclusive and…

Q: Boy has two bags of plums. Each bag has 10 plums but: In Bag 1 there is 7 ripe and 3 raw plums In…

A:

Q: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he…

A: Given that, Average 10 calls (μ=10)Here, we can use Poisson distribution

Q: What is the probability that he will be selected in one of the firms?

A: Here use given information and draw venn diagram

Q: The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this…

A:

Q: Let A={1,2}, B={2}, C={1,3}, D={2,3}. Select a pair of mutually exclusive events.

A: Event Event Event Event

Q: Lacee has three bags that each contain 300 marbles. Bag 1 has 62 red marbles, 213 green marbles, and…

A: given data   bag 1 : 213 green, 62 red, 25 yellow  : 300 total bag 2 : 231 blue, 56 pink, 13 red :…

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