Topic: Choosing ping-pong balls without replacement.There are 6 white and 4 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen.Enter your answers as fractions. (The "Preview" simply displays your answer in nice mathematical text.It does not mean that your answer is either right or wrong.)a) How many total balls are in the bag?   b) What is the probability that the 1st ball is orange?P(1st = orange) =   c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange?P(2nd = orange | 1st = orange) =   d) What is the probability that both the 1st and the 2nd balls are orange?

Q: coin is flipped and a 7-sided die is rolled. What is the probability the outcome is heads and an…

A: Given that  A coin is flipped and 7-sided die is rolled.    We know that  A coin is flipped ,…

Q: In a lottery game, a player picks 9 numbers from 1 to 49. If 8 of the 9 numbers match those drawn,…

A:

Q: A bag contains hair ribbons for a spirit rally. The bag contains 3 black ribbons and 17 green…

A: Answer:- Given, Number of black ribbons, n(black ribbon) = 3 Number of green ribbons, n(green…

Q: Denni has 15 coins in his pocket, and 6 of them are toonies. He reaches into his pocket and pulls…

A:

Q: A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the…

A: if a number cub is rolled and a coin is tossed than the possible outcomes…

Q: A box contains 3 pink balls, 8 yellow balls, and 9 white balls. A first ball is selected, and then…

A:

Q: 4 green marbles, 5 red marbles, and 2 yellow marbles are placed into a bag. One marble is chosen and…

A: 4 green marbles, 5 red marbles, and 2 yellow marbles are placed into a bag. Total number of marbles…

Q: Latanya recorded the grade-level and instrument of everyone in the middle school School of Rock…

A: To calculate the probability, we first need to know the total number of outcomes. In this case, the…

Q: What is the probability that she answered neither of the problems correctly?

A:

Q: An ice-cream company did a study on preferred ice-cream flavor. The results of the study are shown…

A: a. The contingency table is,   Vanilla Chocolate Other Total Children 3 2 1…

Q: Suppose a jar contains / red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A:

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: If the odds in favor of winning a bet are 3:33, what is the probability of winning the bet? Write…

A: Given data:   The given odd in favor of winning a bet is O(E)=3:33.   The Depression for the odd in…

Q: At a hot air balloon festival, Chandler made note of how many passengers were in each balloon and…

A:

Q: A science class has 3 girls and 9 boys in the seventh grade and 5 girls and 3 boys in the eighth…

A:

Q: bag contains three red marbles, two blue marbles, and two green marbles. please show work and use…

A:

Q: Determine the probability of drawing either a two or a ten? Write your answer as a reduced fraction.…

A: here total cards in standard deck = 52 there are total 4 suit each suit contains 13 cards

Q: What is the probability of getting either a diamond or a jack when drawing a single card from a deck…

A: Total cards (T) = 52Jack cards (J) = 4 Diamond cards (D) = 13Diamond and Jack cards (J and D) = 1

Q: Julia sets up a passcode on her tablet, which allows only eight-digit codes. A spy sneaksa look at…

A: According to the provided data, the passcode allows only eight digit codes. As the fingerprints on…

Q: A box contains 3 plain pencils and 1 pen. A second box contains 9 color pencils and 3 crayons.…

A: Given A box contains 3 plain pencils and 1 pen. A second box contains 9 color pencils and 3 crayons.

Q: In a lottery game, a player picks 5 numbers from 1 to 45. If 4 of the 5 numbers match those drawn,…

A:

Q: An urn contains 4 red and 3 white balls. Two balls are drawn in succession without replacement. If…

A: From the provided information,An urn contains 4 red and 3 white balls. Two balls are drawn in…

Q: Seven people are arranged in a line. What is the probability that two specific people, say A and B,…

A:

Q: A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae…

A: Given information: Total number of songs on this upcoming hour's playlist = 8 Number of rock songs =…

Q: Finn, John, Andrew, and Eddie are going to have a movie night this weekend. Together, they have 30…

A: It is given that together they have 30 movies.  So, out of 30, 4 movies can be chosen in 30C4 =…

Q: Jina won a charity raffle. Her prize will be randomly selected from the 9  prizes shown below. The…

A: 4 rings 3 cameras 2 headsets 9 total prizes

Q: Finn and James are going to have a movie night this weekend. Together, they have 42 movies. If they…

A: n=number of movies= 42 choose two movies randomly and both are different.

Q: Find the probability of winning a lottery with the following. Select the six winning number from…

A: Find the probability of winning a lottery with the following. Select the six winning number from…

Q: n a lottery game, a player picks 6 numbers from 1 to 46. If 5 of the 6 numbers match those drawn,…

A: pick 6 numbers from 1 to 46. if five of the 6 numbers matches with drw=awn numbers player win second…

Q: An urn contains 3 red and 7 blue balls. Pick a ball; keep it; pick another ball. Find the…

A: Given: Total number of balls=10 Number of red balls=3 Number of blue balls=7

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.