Balls are numbered 1 through 10 (including 1 and 10) in an urn. 3 are drawn simultaneously and at random. If X is 4 times the number of even balls drawn minus 3 times the number of odd balls drawn, how many distinct values for X are there?

Q: The next five births at a hospital all being boys

A: Let P(G) be the probability of birth of a girl and P(B) be the probability of birth of a boy. The…

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

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Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

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Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

A:

Q: Let the letters G and B denote a girl birth and a boy birth, respectively. For a family of three…

A: Let the letters G and B denote a girl birth and a boy birth, respectively. Given that a family has…

Q: if N {A} = 25 and N {B} = 31 and N { A n B } = 20 find n { A U B }

A: Given that n{A}=25 and n{B}=31 and n{A ∩B }=20   We have to find n{A∪B}  . We use the union property…

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to…

A: There are 3 different lots L1,L2,L3 Total spaces=21 (out of 21 6 are closed for renovation) total…

Q: a five-person committee is created by randomly selecting members from a group of 3 faculty and 5…

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Q: A drawer contains 20 pens, of which 4 are green, 7 are orange, and 9 are black. At the least, how…

A: Given Data: Number of green pens=4 Number of orange pens=7 Number of black pens=9   Total number of…

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

Q: Make addition tables for each of the following. с. Zs а. Zz b. Z3

A: .

Q: A casino game consists of selecting two balls, without replacement, from an urn containing 4 balls…

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A: To get hold of the 56th ball it's important to get hold of the 52nd ball and so on. This is the key…

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given,Total no.of cards=52no.of club cards=13no.of hearts=13

Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: Combination:   A combination is a selection of objects where order is not important.   If n is…

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: Three sets of numbers are given.  The first is number 1 through 4, the second is numbers 1 through…

A: Three sets of numbers are given. The first is number 1 through 4, the second is numbers 1 through 7,…

Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: This is a counting problem.. we will solve it using the approach of dynamic programming

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

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Q: A casino game consists of selecting two balls, without replacement, from an urn containing 7 balls…

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Q: Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such line-ups…

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Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: Find the number of different poker hands that contain exactly 3 kings, while the other remaining 2…

A: Total number of cards is 52. The number of cards for the poker hand is 5.

Q: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

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Q: It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many…

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Q: There are 6 numbered balls in a bag. Each ball has a distinct number and the numbers are in {1,2, 3,…

A: Here given that there are 6 numbered balls in a bag. Each ball has a distinct number and the numbers…

Q: If A = {1, 2, 3, 4, 5}, B = {1, 3, 4, 6}, C = {1, 6, 7}.

A:

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

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Q: How many ways are there to distribute A x Bx C blue balls to 4 people Muslum, Orhan, Ferdi, and…

A: Total number of balls = AxBxC The balls are to be distributed to 4 people. Ferdi and Bergen get no…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.