2. You are kidnapped by a mafia and they are planning to kill you. However, they will set you free if you survive in a special game of Russian Roulette. The revolver to be fired at you has six bullets, of randomly inserted into the revolver, what is the probability that you can walk which five are blanks (non-lethal). If the bullets are away after three shots have been fired?

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: You are playing a game where you must roll a fair die and then draw 2 balls, without replacing them,…

A: P( A : 1 or a 2) =13P( B : 3,4,5 or 6) =23 As to draw 2 green balls from the same bag,   P(G1 :2…

Q: If you roll two dice 20 times, how often should you get an odd number with the first and an even…

A: total outcomes =36

Q: There are two bags containing several colored balls. The bag B, contains 17 red balls, 11 blue…

A:

Q: Suppose you’re on a game show like Let’s Make A Deal and there are 4 doors to choose from. Behind…

A: We have to solve the famous monty hall problem .

Q: There are 5 different keys and you can open the door with only one of them. You randomly select a…

A: Given info: There are 5 different keys and you can open the door with only one of them. You randomly…

Q: Suppose you plan to take 3 courses next term. If you select them randomly from the listing of 12…

A: We have to find given probability.

Q: 11. One box contains 3 red balls and 5 white balls, and a second box contains 2 red balls and 3…

A: Givenfirst box containsNo.of red balls = 3No.of white balls =5Total no.of balls = 8second box…

Q: Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen's…

A: The refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day.

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: Two of my sisters were playing jack en poy, to consider one of them as the winner they need to win 3…

A: We have to determine the possibility of one person winning three times in a row in a game of jack en…

Q: series of cards is drawn from a deck (without replacement).  What is the chance that you get 2 cards…

A: Probability of drawing cards of spades and Hearts

Q: A7 card hand is dealt randomly from an ordinary 52 card deck. What is the probabllity that it…

A:

Q: There are two bags each containing 10 books all having different titles but of the same size. A…

A:

Q: (a) all 5 will survive the test (b) at most 2 will survive the test?

A: here given, lot of 10 construction material , 5 are selected randomly and tested  if lot contains 3…

Q: Doug has some marbles in two bags. In one bag he has 2 blue, 3 purple, 2 white and 1 orange marble.…

A: Probability: The probability gives the likelihood of an incident's occurrence. For example, a job…

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

A:

Q: often then any other side. You have selected randomly die and tossed up a die. What ability to get 5…

A: Solution

Q: If she fills out 4 new applications, what is the probability that she will get no interviews? If she…

A: Here, n = 4 and p = 0.10.

Q: There are four dice rolled once, what is the probability of getting 22 or more

A:

Q: There are 11 different keys in the bag and you open the door with only 3 of them. Find the…

A:

Q: There are four dice rolled once, what is the probability of getting 22 or more?

A: There are four dice rolled.

Q: 40 out of 100 women have chances of getting diabetes. Suppose you are a boy. If your mother is…

A: Given that P( Diabetes)=0.40 P( not diabetes)=1-0.40=0.60 P(you getting diabetes|  mother is…

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: A bag contains 25 gumballs in total.  There are 6 blue gumballs, 7 green gumballs, 4 red gumballs, 3…

A: It is an important part of statistics. It is widely used.

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: a) In a deck of 52 playing cards, there are 3 face cards ( King, Queen and Jack ) in each of the 4…

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: Over the past 30 games between team A and team B, team A has won 14 times, team B has won 11 times…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: There are 5 different keys and you can open the door with only one of them. You randomly select a…

A:

Q: If Ned rolled a dot cube and it turned up as a six then he rolled it again what is the probability…

A:

Q: 12 If 2 per cent of a certain brand of light bulbs are defective, find the probability that, in a…

A: As per given by the question, find the probability that in a random sample of 80 bulbs, a total 0,…

Q: A lonely grandma has 12 black cats, 7 grey cats, and 11 orange cats. She decides to give them all a…

A: We have given that a lonely grandma has 12 black cats, 7 grey cats, and 11 orange cats. So, total…

Q: Suppose, you are rolling two regular six-sided dice and two four-sided dice together. Let's say, the…

A: