suppose you roll a pair of fair 6 sided dices what is the probability that one of the rolls is an integer multiple of the other?

Q: What is the probability that the number on the first die is smaller than the number on the second…

A: The sample space of two dice are thrown is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2)…

Q: If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum…

A:

Q: If we roll two dice, what is the probability that the sum of the numbers on top is 7?

A: Given data: The number of dice rolled is: n=2.   The expression for the number of sample space when…

Q: When a pair of dice is​ rolled, what is the probability that the sum of the dice is 8​, given that…

A: A pair of six-sided dice is rolled.There are a total of  possible outcomes, as each die has  faces.

Q: Suppose that Alan is taking a multiple choice quiz where there are 3 choices for each question.…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: Suppose that two fair dice are rolled. find the probability that the number on the first dice is a 4…

A:

Q: A pair of fair dice are rolled one time. What is the probability that the sum of the two dice is…

A: Here we have to probability that sum of two dice is equal to 4 or sum is odd number when a pair 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: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 5?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: two books are selected from a box containing 6 fiction and 8 nonfiction books. find the probability…

A: It is given that two books are selected from a box containing 6 fiction and 8 nonfiction books.…

Q: If we roll two dice, what is the probability that one of the numbers on top is 3?

A: When two dice are rolled, there are 36 outcomes in the sample space, which is given by Sample space,…

Q: What is the probability that at least one dice will different from the other two? Leave your answer…

A: It is assumed that three dice are rolled. The total number of outcomes in the sample space be n(S) =…

Q: A toddler is playing with some magnetic letters on the refrigerator. He has the letters l, t, b, a,…

A: From the given information, the letters are l, t, b, a and e.The given 5 letters are arranged in…

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: 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: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​, given that the…

A: Given data: The numbers of dice rolled are n=2. The expression for the total number of sample space…

Q: Two distinguishable (for example, one blue one green) six-sided dice are rolled. Find the…

A: The points where it is possible are (1,3),(3,1),(2,2). The total number of possiblities are 36.

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.