A regular deck of 52 cards has 13 cards (including 3 face cards) in each of 4 suits.     The sum of the probability that an event will happen and the probability that the event will not happen is 1. Consider the experiment of selecting 1 card at random from a complete deck of 52 cards. Compute the probabilities of the events in the following (enter your answers as fractions):

Q: A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 3 marbles out at random,…

A: (a)   Obtain the probability that all the marbles are red.   The probability that all the marbles…

Q: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​. The order of the…

A: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 37​.

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: poll is given, showing 70% are in favor of a new building project. If 8 people are chosen at…

A: According to the given information, we haveProbability, p = 70% = 0.70Sample size, n = 8

Q: You decided to buy a white Honda. One out of five Honda cars at the dealerships is white. If you…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is…

Q: You own 17 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that…

A: The total number of CDs. are n=17. The number of CDs. needs to arrange r=6

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: In a drawer, there are 12 pairs of socks, 8 of which are white. If you randomly select two pairs of…

A: GivenTotal no. of pair of socks=12No.of white pair of socks=8

Q: Ben wants to try a new restaurant for dinner .His online search resulted in 7 new 3-star…

A: Probability  = Number of possible event /total number of possible outcomes

Q: A poll is given, showing 35% are in favor of a new building project. If 10 people are chosen at…

A: given dataP(favor new project) = p = 0.35sample size (n) = 10x = no. of people favor new project…

Q: A poll is given, showing 25% are in favor of a new building project. If 10 people are chosen at…

A: According to the given information, we have A poll is given, showing 25% are in favor of a new…

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A poll is given, showing 75% are in favor of a new building project. If 9 people are chosen at…

A: Given information- We have given a problem of the binomial distribution. We have given that a poll…

Q: ou order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without.…

A: GIVEN DATA : 12 burritos are ordered from Mexican restaurant.                          5 burritos…

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: A poll is given, showing 60% are in favor of a new building project. If 10 people are chosen at…

A:

Q: If you roll two six-faced dice together, you will get 36 possible outcomes. Answer the following…

A: If two dice are rolled than the possible out comesare 36.

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: 40 people went to the fair.  30 people either went on the merry-go-round, the roller coaster or…

A: Given that: the total number of people who went on roller coaster= 15 And the total number of people…

Q: A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. You draw 3 marbles out at random,…

A: It is given that Number of red marbles = 9 Number of non-red mables = 13 Total = 22 Sample size = 3…

Q: A poll is given, showing 25% are in favor of a new building project. If 9 people are chosen at…

A: Given data, p=25%=0.25 n=9 P(X=8)=?

Q: Use combinations to answer the following problem: I want to choose a group of students from my…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: 2. There are two multiple-choice questions on a quiz, one with four answer choices and one with six…

A: Step 1: Define the events.E1 = choosing the correct option for the first question.E2 = choosing the…

Q: Paul has 6 black pens, 3 red pens, and 14 pencils in his desk drawer if he reaches into his desk…

A: 6 black pens3 red pens14 pencils __________23 total itemsselect one at random. P(grab a pen) = ?

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…