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: what is the probability that the chosen student is a psychology or anthropology student ?

A: Given that Number of anthropology students = 7 Number of socialogy students = 3 Number of psychology…

Q: A jar contains 4 red marbles, 8 green marbles and 12 white marbles. If a marble is drawn from the…

A:

Q: A company has 12 salespeople and 18 engineers. If a committee of 4 is randomly selected, what is the…

A: given data, 12- salespeople18- engineers30- total persona commitee of 4 is randomly…

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: The following is a list of 14 measurements. 8, -13, -3, 47, -47, 37, 69, -52, -28, 23, 27, 58, -42,…

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Q: A bag contains 8 books. 3 are economics, 2 are English, and 3 are math. A book is selected at…

A: Introduction Probability: Probability helps us in knowing the chances of an outcome from a trial.…

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…

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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

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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: A bag contains 4 white, 7 black, and 6 green balls. What is the probability that a ball drawn at…

A: A bag contains 4 white, 7 black, and 6 green balls.  There are 4+7+6 = 17 balls. Among the balls…

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: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: Consider a box that contains 4 marbles of different colors (red, yellow, blue and green.) If two…

A: Given that: Total number of marbles in a box = 4  There are 1 red marble, 1 yellow marble. 1 blue…

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…

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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: A baseball player hit 60 home runs in a season. Of the 60 home runs, 16 went to right field, 22 went…

A: Step 1: GivenThe total number of home runs in a season, N=60.Out of these 60 home runs,16 went to…

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: A pet store has 12 puppies, including 4 poodles, 4 terriers, and 4 retrievers. If Rebecka and Aaron,…

A:

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.