A pair of dice are rolled once (so will have two numbers show up when we roll the pair). The sample space is S = {(1, 1),(1, 2),(1, 3), ....,(6, 5),(6, 6)}. There are 36 elements in the sample space, and they are all equally likely to occur (thus each has probability of 1 36 of occurring). a. Explain why there are 36 equally likely elements in the sample space and why the probability of any one of those elements is 1/36. b. What is the probability that the sum of the two dices is less than or equal to 11? c. What is the probability that both dices are even ?

Q: In a math class there are 8 male students and 7 female students. A student is randomly selected to…

A: As given in class 8 male students and 7 female students. The total number of students in the class…

Q: Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always…

A: Given that,The three six sided dice are in one urn. On of the trick dice always lands on either 2, 4…

Q: Q. 3 A parking lot has 10 parking spaces arranged in a row. There are 7 cars parked. Assume that…

A: Total number of parking spaces = 10 Number of cars parked=7

Q: . Consider two events A and B in a probability experiment. Define A to be the complement of event A…

A: Step 1: State the given conditions.P(A∪B) = 0.75P(A∩BC) = 0.25P(AC∩B) = 0.35 Step 2: Define the…

Q: Of a group of undergraduates, 5 are studying chemistry, 3 physics and 2 statistics. If 3 students…

A:

Q: 1. The following table shows the parents jobs. Study the table and answer the following: Male Female…

A: Construct a new table substituting the values for R and Z.   Male Female Engineer 21 28…

Q: A random student will be selected from the College of Engineering. The number of male (B) and female…

A:

Q: What is the probability of rolling two six-sided dice and obtaining the following numbers? a. 2 and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: a. How many different motorcycle plates are possible?

A: Solution:-  Given that I,O or Q is not used in number plates therefor there are 23 letters and 10…

Q: Q: Two Urns are given as follows: Urn A contains 5 yellow and 2 blue marbles. Urn B contains 1…

A: Let the events are U1:  Urn A is chosen. U2: Urn B is chosen. E: A chosen marble is yellow. Since an…

Q: Game(or experiment):A jar contains 2 red, 3 green, and 6 blue marbles. In a game a player closes…

A: 2)Answer:- Given, A jar contains 2 red, 3 green, and 6 blue marbles.  Total number of marbles= 2+3+6…

Q: exam, and 38 students are taking the AP Biology exam.  9 students are taking the Calculus and…

A:

Q: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: A single die is rolled twice. The set of 36 equally likely outcomes is {(1,1), (1,2), (1,3). (1,4),…

A: We have  rolling a die twice and getting Sample space=S {(1,1). (1,2), (1,3). (1,4). (1,5), (1,6),…

Q: A staff car park at the university has 22 parking spaces in a row. There are 19 cars to be parked.…

A:

Q: box contains 5 green and 3 orange balls. If three balls are taken at random with replacements, what…

A:

Q: 1. A faculty student committee is to be selected at random from three students and 4 faculty…

A: Committee is consists of two person Probability that committee will contain no students = C24C27…

Q: A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11…

A: Given data: *The total number of students is 85. *Out of 85 students 48 students are females and 37…

Q: of the people who fished at Clearwater Park today, 24 had a fishing license, and 16 did not. Of the…

A: Given,Number of people at Clearwater park had a fishing license, n(A) = 24Number of people at…

Q: A committee of 2 people is to be chosen from a group of 5 people. Aji and Bao are 2 of the people in…

A: Given problem Given that   A committee of 2 people is to be chosen from a group of 5 people. Aji…

Q: A random student will be selected from the College of Engineering. The number of male (B) and female…

A: Given that    Male (B) Female (G) Total Civil engineering (CE) 43 15 58 Electronic and…

Q: 2. In rolling 2 dice, find the probability of having: a. Sum of 7 b. At least one die shows 4 c.…

A: Given2 die are rolled

Q: For items 11-14. A commuter travels in three destinations. He travels first in bus or train,…

A: Given that, A commuter travels in three destinations. He travels first in bus or train, followed by…

Q: Consider a bowl containing 120 M&M’s: 25 red, 18 blue, 25 brown, 7 orange, 4 yellow, 22 green, and…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: A class consist of 28 meals and 52 females. If the professor selects names from the class list using…

A:

Q: Rehnuma has a set of three special coins. For the first, second and third coin, probability of…

A: Given data,    Numbers of coin Rehnuma have is 3. Probability of getting head on first coin is 50%.…

Q: A student forgot to prepare for a quiz. There are three True/False questions in that quiz. The…

A: The objective of the question is to understand the concept of probability, random variables, and…

Q: List all the possible outcomes and determine the values of the random variable in each of the…

A: It is given that Number of Australian = 4 Number of Americans = 2 Sample size = 3 Let A denote the…

Q: Q.3 Dawn Corporation has 18 employees who hold managerial positions. Out of them, 3 are from Lahore,…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: In a particular meeting, there are 10 people: 5 are accountants, 3 are lawyers, and 2 are engineers.…

A: There is a total of 10 people. There are 5 accountants, 3 lawyers, and 2 engineers. The probability…

Q: 3. Given that 18 individuals ride horses and play tennis in a population of forty, 26 people plays…

A: For any event A and the sample space S, the probability can be found as,

Q: Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always…

A:

Q: Flip two fair coins. Then the sample space is {HH, HT, TH, TT} where T = tails and H = heads. The…

A: Given,A fair coin is tossed two times than the possible out comes ares={HH,HT,TH, TT}

Q: Give the following information: a.1 n a.2 p a.3 q b. What is the probability of getting at most two…

A: HERE  lot of 200 construction materials is known to contain 20 defective materials. Twenty…