Schrödinger's cat was placed in a box with 5 white mice and 5 black mice and the lid was then closed. Animal rights activists quickly intervened but not soon enough and when the lid was raised it was found that only 4 mice were still alive. Find the probability that at least 1 white and at least 1 black mouse were among the 4 survivors.

Q: A company has 2 machines that produce widgets. An older machine produces 23% defective widgets,…

A: It is given that there are 2 machines in the company, one is older and other one is new.

Q: A committee of 5 persons is to be formed from 6 men and 4 women. What is the probability that the…

A:

Q: A club of 17 people consists of 9 men and 8 women. A team of 10 is randomly selected from the club.…

A: There are 9 men and 8 women in the club. We need to build a team of 10 randomly selected from the…

Q: A bag of 25 tulips contains 11 red 8 yellow and 6 purple. If I select 2 bulbs what is the…

A: The number of red tulips is 11 and the number of yellow tulips is 8 and the number of purple tulips…

Q: A club of 25 people consists of 12 men and 13 women. A team of 9 is randomly selected from the club.…

A:

Q: If a couple plans to have 7 ​children, what is the probability that there will be at least one…

A: Given that ,                n=7 and P=0.5 , q=0.5

Q: A bag contains 5 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of…

A:

Q: The participants in a television quiz show are picked from a large pool of applicants with…

A: Given: p = 50/100 = 1/2 q = 1-p = 1 - 1/2 = 1/2 n =10 Using Binomial distribution:

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

A:

Q: Teledex Corporation is going to hire 3 programmers from a pool of 5 female and 5 male applicants.…

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: Suppose a jar contains 17 red marbles and 14 blue marbles. If you reach in the jar and pull out 2…

A: Here, a jar contains 17 red marbles and 14 blue marbles. Select 2 marbles at random.

Q: about 38% of the population have blood type-O positive. If you randomly choose 4 people, what is the…

A: It is given that p = 0.38 and n = 4. The probability mass function of the binomial distribution is…

Q: Mr. Moreland is having trouble keeping track of his marbles. He thinks he has six purple marbles,…

A: From the provided information, Total purple marbles = 6 Total red marbles = 5 Total blue marbles = 3…

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: A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made…

A: The total number of women is 9.The total number of men is 6.The number of people selected at random…

Q: Suppose a jar contains 20 red marbles and 23 blue marbles. You reach in the jar and pull out two…

A:

Q: In a class 2% of boys and 3% of girls are having blue eyes. There are 30% girls in the class. If a…

A: Answer: For the given data

Q: A recent survey conducted nationwide found that 72% of people in the United States prefer cheese on…

A: As per our guidelines we are supposed to answer only one question (if there are multiple questions…

Q: It is known that 40% of the students in a certain college are girls and 50% of the students are…

A: A : a student is a girl B : a student is above median height P(A) = 0.40, P(B) = 0.50, P(B|A’) = 2/3…

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 club of 19 people consists of 9 men and 10 women. A team of 9 is randomly selected from the club.…

A: We have to find given probability.

Q: Two students are selected at random from a class that consists of 13 males and 7 females. What is…

A: Given: Number of males = 13 Number of females = 7 Total students = 13+7 = 20

Q: There are 20 red, 20 blue, and 10 yellow marbles in a bag. What is the probability of drawing two…

A: Given: Number of red marbles = 20 Number of blue marbles = 20 Number of yellow marbles = 10 Total…

Q: If you roll a fair 6 sided die 9 times, what is the probability that at least 2 of the rolls come up…

A: Given data: The given number of die rolled is n=9. The probability of getting 3 or 4 is, p=16+16=13…

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

A:

Q: It has been estimated that 21% of Americans are smokers. If three American adults are chosen at…

A: From the given information. The probability of American are smoker 0.21.

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

A:

Q: A club of 15 people consists of 7 men and 8 women. A team of 9 is randomly selected from the club.…

A:

Q: A gambler has one pair of fair dice and one pair of loaded (unfair) dice. For the loaded dice, the…

A: Consider the following events, A=chosen pair of dice is fairB=chosen pair of dice is loadedE=sum of…

Q: What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered…

A: Given, 50 boxes are labeled as 1 to 50 and each box has 1 red and 1 blue ball To find the…

Q: What is the probability that selected coin is nickel? If it is nickel, what is probability that it…

A: Given :  Box A= 5 nickels and 3 quarters             Box B =  8 nickels and 4 quarters A coin is…

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: A large cube is painted red from all its sides, and then cut into 27 smaller cubes (like a rubiks…

A:

Q: A marble is selected at random from a jar containing 5 red marbles, 6 yellow marbles, and 3 green…

A: From the provided information, The jar contains 5 red marbles, 6 yellow marbles and 3 green marbles.…

Q: There are 9 red eggs and 6 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is…

A: Number of red eggs, n(R)=9. Number of green eggs, n(G)=6. Total number of eggs, N=15. Randomly…

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

A: Given,n=12q=0.80p=1-qp=1-0.80=0.20Let X=no.of doesn't growX~Binomial (n=12   ,  p=0.20)P(X=x)=12x…

Q: You order 15 burritos to go from a Mexican restaurant, 5 with hot peppers and 10 without. However,…

A: Probability: The formula for probability of an event E is as follows:

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

A:

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 7 seeds are planted,…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: There are 5 red eggs and 9 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is…

A: From the given information we Want to find the probability.

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: A club of 17 people consists of 9 men and 8 women. A team of 10 is randomly selected from the club.…

A:

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: One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5…

A:

Q: A large construction company has a workforce that is 80% men. Two workers are selected at random.…

A:

Q: If a seed is planted, and it has 75% chance of growing into a healthy plant and if 6 seeds are…

A: Given, p=75%=0.75 (Grow as healthy plant) q=1-p=0.25   If n=6 P(X=3) dont grow =?

Q: You order 13 burritos to go from a Mexican restaurant, 8 with hot peppers and 5 without. However,…

A: probability that exactly two have hot peppers=favourable case total cases=C(8,2)C(13,2)

Q: A box contains 6 defective bulbs and 10 functional bulbs. If 4 bulbs are to be chosen at random what…

A: Given ,           no. of defective bulbs = 6           no. of functional bulbs = 10         Total no…