Suppose you are given a standard six-sided die. The sides are numbered one through six, and each side has an equal probability of being rolled. If the die is rolled 3 times, find the probability of rolling a number less than or equal to 5 each time. Enter your answer as an exact value. Enter the fraction as "a/b". Number

Q: Express the answers as integers or fractions in simplest form. If a die is rolled one time, find…

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

Q: Assuming boys and girls are equally likely, find the probability of a couple having a baby boy when…

A: Given The data is as follows: Birth of boys and girls are equally likely.

Q: If one student is chosen at random, Find the probability that the student was female AND got a "C".

A: Consider the given table. The number of females = 40 The number of females who received C = 9 Total…

Q: An individual chooses a prime number that is less than 13. What is the probability that the number…

A: Here the individual chooses a prime number less than 13. Prime numbers less than 13 is given by…

Q: Suppose a jar contains 14 red marbles and 40 blue marbles. If you reach in the jar and pull out 2…

A: Given that: A jar contains 14 red marbles and 40 blue marbles. We reach in the jar and pull out 2…

Q: When rolling a standard 6-sided die once, give each indicated probability as a fraction in lowest…

A: Given: 6-sided die rolled once. So total possible outcomes = 6

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: From the provided information, The die is twelve sided labelled 1 through 12. The total number less…

Q: A lottery game is set up so that each player chooses five different numbers from 1 to 50. If the…

A: There are 1 to 50 numbers in a lottery game.

Q: Suppose you roll a red die where each face represents a number from 1 to 6. Determine the…

A: When a die is rolled n(S)=6 S={1,2,3,4,5,6}

Q: A bag contains twelve balls labeled1 through 12 . One ball will be randomly picked. What is the…

A: Given information: A bags contains 12 balls. { 1,2,3,4,5,6,7,8,9,10,11,12} Total balls in a bag = 12…

Q: If one student is chosen at random, Find the probability that the student was male AND got a "C".

A: The given table shows the grades and gender of the group of students.

Q: You roll a 6-sided die two times. What is the probability of rolling a number less than 3 and then…

A:

Q: O A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely…

A: We have to find the probability

Q: The probability that a couple will havenbaby boys in a row is given by the formula the probability…

A:

Q: Suppose a jar contains 9 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A: Givenjar contains 9 red marbles 37 blue marbles. If you reach in the jar and pull out 2 marbles at…

Q: d 1 through 70. What is the probability that a student will enter a building that is not a multiple…

A: To find:  The probability that a student will enter a building that is not a multiple of 12.

Q: Find the probability of winning second prize—that is, picking five of the six winning numbers—with a…

A: We can select any 6 numbers from 54 numbers in 54C6 ways. (this is the total number of ways)   We…

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A:

Q: A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the…

A:

Q: A coin is flipped and die is rolled once. What is the probability of flipping a heads on the coin…

A: When a coin is tossed then there are two possible outcomes. Head and tail. So the probability of…

Q: Find the probability of getting a 1, 5, or 6 when you roll a standard six-sided die

A: When we roll a six-sided die then we can get 6 possible outcomes.  We can get 1, 5 or 6 in 3 ways.…

Q: A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to…

A: Given: A die is rolled. Total outcomes={1, 2, 3, 4, 5, 6 } . Objective is to find the probability…

Q: A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to…

A: There are 6 numbers on the die. So the sample size= 6   We can get less than 5 for the numbers 1, 2,…

Q: Suppose we roll a twelve-sided die. Determine the probability of rolling an odd number Determine the…

A:

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Given that,A twelve-sided die will be rolled once.Each number is equally likely to be rolled.

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A:

Q: (A) Suppose that in a population of rabbits, 1 out of every 10 individuals is considered "slow" and…

A:

Q: The probability of getting a sum of 5 is (Type an integer or a simplified fraction.)

A:

Q: If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 221 lb.

A: Let X denote the weights of women. Given that X follows N(mean = 172, SD = 37), then Z = (X -…

Q: If one student is chosen at random, find the probability that the student was male AND got a "C". Ro

A: It is given that Number of males with C = 3 Total = 56

Q: A bag contains ten balls labeled 1 through 10. One ball will be randomly picked. What is the…

A:

Q: If one student is chosen at random, Find the probability that the student was female OR got an "B".

A: Let us first consider that each one is out of 100 marks.  The student got 99% on tests, 54% on labs,…

Q: If one student is chosen at random, Find the probability that the student was male GIVEN they got a…

A: Conditional probability is known as the probability of an event occurring given that the other event…

Q: If a single fair die is​ rolled, find the probability of a 5 given that the number rolled is odd.

A:

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Solution: The twelve sided die is rolled the sample space S is  S = { 1,2,3,4,5,6,7,8,9,10,11,12} n(…

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A: Given data, A 12 sided die is rolled Then the sample space is S={1,2,3,4,5,6,7,8,9,10,11,12} What is…

Q: A college has buildings numbered from 1 through 60. What is the probability that a student will have…

A: There are total 60 building, where the buildings are numbered from 1 to 60.

Q: hat is the probability of winning the second prize?

A: From provided information, a player picks five numbers from 1 to 48. If 4 of 5 match winning…

Q: when a single die is rolled, find the probability of gitting a 9.

A:

Q: A multiple choice quiz has 5 questions, each one of the first three questions has four possible…

A:

Q: Find the probability that a person flipping a coin gets​ (a) the eighth head on the twelfth ​flip,…

A: Let X be a random variable which represent the number of tosses to get 8 heads. The probability to…

Q: If one student is chosen at random, (answers can be in fraction forms or decimal rounded to four…

A: Given :   A B C Total Male  16 4 3 23 Female 8 18 7 33 Total 24 22 10 56

Q: If the probability of rolling a die and getting a five is 1/6, what is the probability of rolling…

A: HERE USE BASICS of probability and basic of hypothesis

Q: Suppose a special 45-sided die is rolled once where each fac is marked with a number 1 through 45.…

A: Given,  A 45-sided dice is rolled  The probability that the die lands on a 40 or 35 =?

Q: You roll a 6-sided die two times. What is the probability of rolling a number less than 2 and then…

A:

Q: If one student is chosen at random, Find the probability that the student was male AND got a "B".

A: Total students = 75 Total male students = 25 Total students who got a B = 26 Total male students who…

Q: A twelve-sided die with sides labeled  1 through 12 will be rolled once. Each number is equally…

A:

Q: A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally…

A:

Q: The probability of winning the jackpot with one ticket is (Type an integer or a simplified…

A: Given The number of ways in which one can select all five numbers drawn from white balls (1 through…

Q: find the probability that the educator is a male,given professor

A: We have given that an educators at a college were  classified according to gender and academic rank.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.