A book seller randomly selects books, without replacement, from the “Clearance” bin containing 30 books in total. There are 8 sci-fi books, 12 mystery books, 4 classics, and 6 non-fiction books in the bin. a) What is the probability that the first three books selected are sci-fi? b) What is the probability that the first two books selected are both of the same genre? c) What is the probability that the first four books are neither sci-fi nor mystery?

Q: 10 animals are randomly put into a line. There are 3 cats and 4 dogs. What is the probability all…

A: Solution

Q: used a mnodern sheep astragalus to estimate the chances of its landing on each oI four sides and…

A: We have given that  Sample size n= 1000 Favorable cases x = 89 Sample proportion p^=x/n

Q: ten?What is the probability that the number of spades in your hand and in your partner’s hand totals…

A: Here consider person and his partner consider as single entity who got 26 cards as here Required…

Q: If one card is randomly chosen from a standard deck, what is the probability that a black 7 is…

A: Introduction: Suppose an experiment has a total of n mutually exclusive and exhaustive outcomes. If…

Q: the probability that a number selected from the numbers (1, 2, 3,......,15) is a multiple of 4?

A:

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: Two containers contain different balls. The first container contains 5 red balls, 4 blue balls, and…

A: Given: Container 1 n(red) = 5 n(blue) = 4 n(yellow) = 6 n(total) = 15 Container 2 n(red) = 6 n(blue)…

Q: A card player selects 2 cards from a deck of 52 cards at random without replacement. The deck…

A: Given Data: The number of cards in the deck is: n=52 The number of aces in the deck is: r=4 The…

Q: What is the probability that the card is a 4 given that it is a Number Card? What is the probability…

A: In a deck of 52 Cards,            There are 36 Number Cards & from which four are '4' Number…

Q: Nine stranger are put in a room. There is 50% probability that any two random people in the room…

A:

Q: A bag contains 8 red marbles, 6 white marbles, and 5 blue marbles. You draw 3 marbles out at random,…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A music fan randomly selects 4CDs from a stack of 35, where 6 are by the same country western…

A: We have given that  A music fan randomly selects 4CDs from a stack of 35, where 6 are by the same…

Q: robability that both envelopes are red is

A:

Q: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Draw two balls,…

A: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Sampling is with…

Q: If 7 different customers A, B, C, D, E, F, and G arrive for service at random order, what is the…

A: If 7 different customers A, B, C, D, E, F and G arrive for service at random order, what is the…

Q: language teacher has a collectiob of 12 books. It consists of 5 Tagalog book, 4 English books, and 3…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST QUESTION ONLY Here Given Total No of books=12 No of…

Q: An urn contains 7 white balls, 4 red balls, and 4 blue balls. What is the probability of selecting 9…

A: Given that  An urn contains White balls = 7 Red balls = 4 Blue balls = 4 Total balls in urn = 7 + 4…

Q: Suppose a 5 card hand is drawn from a standard deck of 52 cards. What is the probability that there…

A: In a standard deck of 52 cards, there are 4 suits (hearts, diamonds, clubs, spades), each with 13…

Q: One drawer in a dresser contains 8 blue socks and 6 white socks. A second drawer contains 4 blue…

A: In first drawer:no.of blue socks=8no.of white socks=6Total no.of socks=14In 2nd drawer:no.of blue…

Q: Two urns contain colored blocks. The first contains three blue and two green blocks. The second…

A:

Q: Suppose one card is drawn from a deck of 52 cards. What is the probability it is a queen or a five?

A:

Q: What is the probability that a hand of 4 cards contains exactly 3 cards that are the same suit?

A: We have to find given probability ...

Q: Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are…

A: no.of black cards=26no.of queen cards=4no.of balck queen cards=2Total no.of cards=52…

Q: Consider a collection of envelopes consisting of 1 red envelope​, 2 blue envelopes​, 2 green…

A: Given,no.of red envelopes=1no.of blue envelopes=2no.of green envelopes=2no.of yellow…

Q: A box contains 10 balls, of which 5 are red and 5 are blue. Four balls are drawn randomly, without…

A: Given that: Total number of balls=10 Number of red balls = 5 Number of blue balls = 5

Q: Suppose a 5 card hand is drawn from a standard deck of 52 cards. What is the probability that there…

A: In a standard deck of 52 cards, there are 4 suits (hearts, diamonds, clubs, spades), each with 13…

Q: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the…

A: From the given information, it is clear that There are, 8 red balls so, nR=8 7 blue red balls so,…

Q: Suppose there is an average of one error per ten pages in each book published by a particular…

A: (1)   Let us define the random variable Y as the of number of errors and follows Poisson…

Q: If 8 different customers A, B, C, D, E, F, G, and H arrive for service at random order, what is the…

A: Here Given total Number of customer=8

Q: One card is drawn of random from a pack of 52 cards. What is the probability that the card drawn is…

A:

Q: We toss a fair coin twice. What is the probability that: Prompts we get heads then tails

A: Note : SInce you have posted multiple questions,I have to answer only one question at a time.Please…

Q: If 5 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at most…

A: Introduction : An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: 5 cards are randomly drawn from a deck of 52 cards. What is the probability that 3 are of the same…

A: In a pack of 52 cards there are 4 different suits (Clubs, Diamonds,Hearts & Spades) and each…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.