From 12 eggs, 2 are bad. Among these 4 are chosen at random to make a cake. What are the probability that (i) exactly 1 is bad (ii) at least 1 is bad

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: There are 7 black and 5 green balls in a box. Three balls are drawn consecutively (each ball is…

A: Given There are 7 black and 5 green balls in a box. The total balls in a box is 7+5=12. To find the…

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: Suppose we have a box that has 30 balls numbered 1 to 30. You draw three balls at random without…

A:

Q: There are three classes, each consisting of 20 students. From this group of 60 students, a group of…

A: From the provided information, There are 3 classes and each class consists of 20 students. From this…

Q: Suppose that you randomly draw eight card from a deck of 52 cards. Given that 3 of them are clubs,…

A: We know that there are total 13 clubs.  If 3 clubs are already picked then, (13-3)=10 club remains.…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: A fair die is rolled seven times. Calculate the probability of obtaining exactly two 3s.

A: here given ,  fair die is rolled 7 times  n=  7 here for fair die , possible Outcomes 1,2,3,4,5,6…

Q: In a class of 10 students there are 7 boys and 3 girls.. If a committee of 5 students is selected…

A:

Q: Suppose a jar contains 13 red marbles and 16 blue marbles. If you reach in the jar and pull out 2…

A:

Q: A grade 10 board of officers of a school consists of 3 girls and 6 boys. A committee of 5 officers…

A: Total number of students = 9 Number of girls = 3 Number of boys = 6 We need to select exactly 2…

Q: Suppose there are 7 jelly beans in a box-4 red and 3 green. If a jelly bean is selected at random,…

A:

Q: a television game show has 14 doors, of which the contestant must pick 2. Behind 2 of the dorrs are…

A: It is given that the In a television game show, there are 14 doors and behind the door, there are…

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: There are three boxes: the first box has 2 red balls and 5 blue balls, the second box has 4 red…

A: Probability

Q: Suppose 20% of the marbles packed in a box are red in colour. 4 marbles are chosen at random. Find…

A: Given n=4, p=0.20 Binomial pmf P(X)=nCx px(1-p)n-x

Q: 1. One card is selected at random from a deck of cards. Find the probability that the card selected…

A: Given from A card a is selected at random from a pack of cards      A deck of card contain 52 cards…

Q: suppose you have 6 tennis balls and you randomly pick some number of them. What is the probability…

A: Given: There are 6 tennis balls. You randomly select some number of balls. Required: To find the…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

A:

Q: A bag contains 5 red and 7 black balls. A ball is drawn at random from the bag, the colour is noted…

A:

Q: A number is chosen at random from 1 to 99. What is the probability that the number contains 2 or 3?

A:

Q: There are 2 urns. The first one has 4 red balls and 6 black balls. The second has 5 red balls and 4…

A:

Q: Box I contains 5 tickets numbered from 1 to 5. Box II contains 3 tickets numbered from 4 to 6. One…

A:

Q: You have 20 objects in total and ha

A: From the given information, There are 20 objects and we have to choose 5 among them. The order is…

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability…

A: given data, A committee of 2 is chosen at random from a population4 men5 women9-total members the…

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

A: Activity Skills Singing Dancing Acting Total Number of Students: 1000 Probability: The…

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

Q: Five people (Alex, Byron, Chloe, Dexter, and Emily) form a club, N = {A, B, C, D, E). Chloe and…

A: Five people (Alex, Byron, Chloe, Dexter and Emily) form a club N = { A,B,C,D,E }

Q: There are 2 boxes, each box contains 10 products. Box one contains 6 qualified products. Box two…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: Suppose you were to flip a fair coin 7 times and you recorded the number of Tails that you received.…

A:

Q: Determine, to the nearest hundredth, the probability that Max will draw 2 non-defective chips.

A: It is given that Number of defectives = 5 Number of non-defectives = 175 - 5 = 170 Total = 175

Q: Suppose that you close your eyes and select at random two candies from the bowl which contains 2 red…

A: Solution Given That, Suppose that you close your eyes and select at random two candies from the bowl…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.