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: 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…

A: If an event with n different possibilities are repeated r number of times, then the number of…

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

A: 3 Faculty5 students___________8 total peopleselect five person committee by selecting members at…

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…

A:

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: 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…

A:

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

A:

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: 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: 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…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

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.