Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. What is the probability that the sum of the two rolls equals 7 ?

Q: There are 9 black balls and 9 red balls in an urn. If 3 balls are drawn without replacement, what is…

A: It is given that Number of black balls = 9 Number of red balls = 9 Total = 18

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: What is the probability that 6 rolls of a fair die will show 4 exactly 2 times

A: Let us consider success as the die showing up 4. Then, p=p(Success)=16. Let X be the number of times…

Q: When a single die is rolled, what is the probability of getting a number less than 6.

A: If a single die is rolling then sample space (s) is,  s = { 1, 2, 3, 4, 5, 6 } = 6 outcomes Then,…

Q: .A coin is flipped 5 times, find the probability of getting at most 1 head.

A:

Q: A ball is chosen at random out of a bowl containing 3 red balls, 2 green balls, and 1 blue ball and…

A: Given Number of red balls=3 Number of green balls=2 Number of blue balls=1 N=total number of balls=6…

Q: the probability that a number selected from the numbers (1, 2, 3,......,15) is a multiple of 4?

A:

Q: when a die is rolled, what is the probability that a four will appear on the top face?

A: We have given that when a die is rolled, the sample space isS = {1, 2, 3, 4, 5, 6 }

Q: Suppose that a box contains three equally sized balls numbered as 1,2 and 3. If two balls are drawn…

A: Given,  3 equally sized balls numbered as 1, 2 and 3.

Q: When 2 dice are rolled, find the probability of getting a greater number on the first die than the…

A: When 2 dice are rolled. then sample space(S) is;…

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

A:

Q: There are 5 black balls and 7 red balls in an urn. If 5 balls are drawn without replacement, what is…

A: From the provided information,Number of black balls = 5Number of red balls = 7Total = 125 balls are…

Q: There are 8 black balls and 5 red balls and an urn. If 4 balls are drawn without replacement what is…

A: Given no.of black balls = 8no.of red balls = 5Total no.of balls = 13

Q: A dice is rolled twice. What is the probability that the sum of the numbers obtained on the two…

A: GivenA dice is rolled twice

Q: A contains 4 white and 6 black balls, while Bin B – 5 white and 3 black balls. A ball is picked up…

A: Probability:   The ratio of the number of favorable outcomes to certain event and total number of…

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: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A:

Q: What is the probability of not getting the sum of 8 or the sum of 3 in rolling a die twice?

A: Let S be the sample space of two dice being rolled. Hence,  S = { (1,1), (1,2), (1,3), (1,4), (1,5),…

Q: 2. If seven coins are tossed simultaneously, find the probability that they will just have three…

A: Given that  Number of coins tossed (n) = 7 In a fair coin Probability of head = Probability of tails…

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: What is the probability that the sum is 2 or at least one die shows a 6 in rolling a pair of dice?

A: When rolling a pair of dice the probability that the sum is 2 is: There is only one case for it to…

Q: 8 black balls and 10 red balls in an urn. If 5 balls are drawn without replacement, what is the…

A: The number of black balls = 8The number of red balls =10Total number of balls=8+10…

Q: hat is the probability that when three coins are flipped, at least one lands heads? Type your…

A:

Q: Suppose that a family has 7 children.​ Also, suppose that the probability of having a girl is 1/2.…

A: From the given information,Number of children, n=7And probability of girl, P=1/2=0.5.Here, we can…

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

A:

Q: Suppose that a student rolls two balanced dice three times in a row. What is the probability that on…

A: There are 6 number on each die so the total number of outcomes=6×6=36

Q: When a single die is tossed, what is the probability of getting a number that is a multiple of 2?

A:

Q: What is the probability that when three coins are flipped, at most one lands heads?

A:

Q: The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is.

A: The number of cards is 52. The number of diamonds is 13. The number of kings is 4. The king that is…

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.