From a deck of 52 ordinary playing cards, one card is drawn. (Enter your probabilities as fractions.) (a) Find the probability that it is a jack. (b) Find the probability that it is a red card. (c) Find the probability that it is a diamond.

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Given that : A well shuffle cars deck  Total number total = 52 By using basic probability role  P{A…

Q: A card is drawn from a deck of 52 playing cards. Given that it is a red card, what is the…

A: We have to find given probability....

Q: company selling substandard drugs to developing countries sold 3,000,000 capsules with 210,000 of…

A:

Q: a) If you are dealt three cards, what is the probability that every card is of the same suit? b) If…

A: a) Three cards can be drawn from a well-shuffled pack of 52 cards in  52C3 ways, which gives an…

Q: The local nursery is waiting for its spring annuals to be delivered, and 20% of the plants ordered…

A: Here, p is 20% and n is 120.

Q: In a game of Texas Hold’em, what is the probability that your hole cards will be the same suit?

A: In cards game of poker, Texas Hold'em is a name of game which one of the most popular variant of…

Q: d) What is the probability that all the chips are 5 or less?

A: Given that  An Urn contains 10 Chips , Numbered 1 to 10.     [ 1  2  3  4  5  6  7  8  9  10 ]…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: In a deck of 52 cards there are 13 clubs. This means (52-13)=39 cards are not club.

Q: A couple intends to have 7 children. Use the binomial probability formula to determine the…

A: The probability that the children is girl (or boy) is 0.5. Here, n=7, p=0.5, and x=4. The pmf of…

Q: A card is drawn from a deck of 52 playing cards. Given that it is a red card, what is the…

A:

Q: If you pick one card at random from a standard deck of 52 cards, what is the probability it will be…

A:

Q: Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is…

A: Given,n=9p=0.75Let X=no.of students take the buse to schoolX~Binomial(n=9 , p=0.75)P(X=x)=9x…

Q: In a​ two-card hand, what is the probability of holding only face​ cards? (Aces are not face​…

A: Given, Two-cards are in hand Total 52 cards in deck. There are 12 face cards in a deck of 4 suits.…

Q: A deck of cards contains 52 cards. If a card is flipped over, what is the probability that it is a…

A: Given that a deck of 52 cards , 13 of each suit.

Q: Randa is playing a board game. The players take turns rolling a pair of number cubes. On her next…

A:

Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

A:

Q: At a car manufacturing plant, 10% of cars have some sort of defect when they come off the line. If…

A:

Q: In a class, there are 30 students from Ankara, 50 from Istanbul and 20 from other cities. If a…

A: We have given, 30 student's from Ankara, 50 student's from Istanbul,  20 student's from other…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Define the event E as, the randomly chosen card is a 4. The number of 4 cards in the 52 card deck…

Q: lunch giveaway, a restaurant draws 1 card from a bowl of business cards. Val puts in 4 cards. The…

A:

Q: If there are 20 women and 10 men in a class, and you randomly picked out one person, what is the…

A: given there 20 women and 10 men we want to find the probability picked a woman ?

Q: Ink Inc., a publishing firm, offers its 899 employees a cafeteria approach to benefits, in which…

A:

Q: In horse​ racing, a trifecta is a race in which you must pick the​ first-, second-, and​ third-place…

A: A trifecta is a race in which you must pick the​ first-, second-, and​ third-place winners in their…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A:

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Solution: A standard deck of 52 cards contain 13 hearts, 4 queen and only one 1 queen is hearts.

Q: In a​ two-card hand, what is the probability of holding two​ kings?

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: You draw a two-card hand from a standard deck of 52 cards. What is the probability of drawing a hand…

A: Given, To find   probability of drawing a hand that contains exactly two diamonds.

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: In a group of 20 students, 7 like ice tea and the others do not. Two students are randomly selected…

A: Given : Total students = 20 Number of students like ice tea = 7 number of students does not like ice…

Q: Joseph rolls a 6-sided die, observes the outcome, and then tosses a coin according to the number he…

A: We want to find the conditional probability

Q: a) If you choose a person at random, what is the probability that the person is color-blind? b) If a…

A: E1: Men   P(E1) = 0.5 E2: Female  P(E2) = 0.5 A: Color Blind P(A|E1) = 0.05 P(A|E2) = 0.0025

Q: A card is drawn from a deck of 52 playing cards. Given that it is a black card, what is the…

A: In a deck of 52 cards, 26 cards are black.  Among those 26 cards, 13 are clubs. So the probability…

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

Q: In a random survey of students concerning student activities, 32 engineering majors, 26 business…

A:

Q: In a 5-card poker hand, what is the probability of getting a full house (three of the same number,…

A: there are total 52 cards in standard  deck of card 4 suit and each suit have 13 cards

Q: 2. Suppose you are dealt two cards, one after the other, from a standard deck of 52 cards. What is…

A: Given Total no.of cards = 52No.of spades cards = 13No.of king cards = 4

Q: In a coffee shop "Scratch and Win" contest, one out of three cards is a winner. What is the…

A: From the given information, one out of three cards is a winner. P(winner)=1/3 Let us consider, the X…

Q: In a standard deck of cards, what is the probability that a card from each suit will be obtained if…

A: In a standard deck of card, there are total of 52 cards. Among 52 cards, there are 4 suits. Each…

Q: Zane is ordering a sundae at a restaurant, and the server tells him that he can have up to five…

A:

Q: in the the game of texas hold'em, a player is dealt tow cards(called hole cards) from a standard…

A: The probability of an event can be defined as follows:

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: There are 52 cards in a deck of cards. Among them 13 cards are diamond.We can pick any card in…

Q: In a family of eight children, what is the probability that (a) the third child is a girl? (b) six…

A: It was stated that in a family there are eight children. Need to find the probability of the…

Q: Tom,Dick and Harry have three deck of cards.If each of them pick pne card from their own deck at…

A: Given,  Tom,dick and Harry have three deck of cards. Each of them pick one card from their won deck.…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Given that, A well-shuffled standard deck of 52 cards. The probability that the card you select is…

Q: In general, after a group makes a reservation at a restaurant, they do not show up 20% of the time.…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: What is the probability that he will be dealt a full house? (R

A: Here use basic probability  Here given information about 3 cards  So now for remaining 2 cards of…

Q: Two six-sided dice were rolled, and a friend tells us that the numbers that came up were identical.…

A: Given information- We have given that two six-sided dice were rolled. We have also given that the…

Q: In rolling 2 dice, what is the probability of an event of getting a sum of 8 and 9?

A: We have given that  Rolling two dice sample space contains  62 = 36  The number of favorable cases…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.