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: What is the probability of drawing a red card in a standard deck of 52 cards? (Enter your…

A: A. What is the probability of drawing a red card in a standard deck of 52 cards? (Enter your…

Q: Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a…

A: Total number of king is 4 out of 52 cards. Total number of 9 is 4 out of 52 cards Number of…

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) =   ? b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A card is drawn at random from a standard 52-card deck, what is the probability that the card is of…

A: Given that, A card is drawn at random from a standard 52-card deck.

Q: A bag contains several marbles, 15 of which are blue, 11 are yellow, and 8 are green. Answer the…

A: According to the given information, we have Number of blue marbles = 15 Number of yellow marbles =…

Q: (a) What is the probability that the student is both a junior and a psychology major? (b) Given that…

A: Total students = 51 Juniors = 22 Psychology Majors = 30 Neither = 10

Q: On her various camping trips, Kendra kept a log of the types of snakes she saw. She noted their…

A: From the provided information, The table is as follow:   Under 1 foot long At least 1 foot…

Q: you randomly select a letter the phrase “ Mario kart on the wii is fun,” what is the probability…

A: We have to find

Q: The 5 elders of a church are Simeon, Levi, Judah, Joseph, and Benjamin. Three of the elders are…

A:

Q: On her various camping trips, Shivani kept a log of the types of snakes she saw. She noted their…

A: We want to find the probability that a randomly selected snake is at least 1 foot long and bright…

Q: b) Of those who test negative, what proportion are actually free of HIV? Write the appropriate words…

A:

Q: In a particular lottery, 6 winning numbers are drawn from a set of 39 numbers. What is the…

A: We have to find the probability of picking exactly 2 of the winning numbers in this lottery

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A:

Q: Use the sample space shown in the figure to find the probability for the experiment of rolling a…

A: Given:   Use the sample space shown in (Above) the figure to find the probability for the experiment…

Q: The executives in a company are four women and three men. Three are to be chosen at random to attend…

A:

Q: 2) A sample of 150 strands of blue lights and 170 strands of red lights are taken from Holidays R…

A: (2) Obtain the probability that the strand of lights is good or red. The probability that the strand…

Q: A cooler contains 100 ice cream bars. There are 40 Vanilla bars, 10 Mint Chocolate Chip bars, 30…

A: The events are mutually exclusive events, so we must add their probabilities.

Q: A planning committee for a major development project must consist six members. There are eight…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A bag with 8 marbles has 2 red marbles, 3 blue marbles, and 3 yellow marbles. A marble is chosen…

A: We have given that 8 marbles has 2 red marbles, 3 blue marbles and 3 yellow marbles.

Q: In a certain lottery, you must select 5 numbers (in any order) out of 35 correctly to win. a. How…

A: We have given that n = 35 r = 5 Here we will use the concept of  combination Formula for Combination…

Q: A modified roulette wheel has 40 slots. One slot is 0, another is 00, and the others are numbered 1…

A: Given  Roulette wheel has 40 slots. One slot is numbered as 0, another slot is numbered as 00 and…

Q: > A box contains 7 white balls, 9 black balls, and 2 red balls. a) How many red balls must be added…

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: 49. The probability of drawing a spadė from a pack of cards is , the probability of drawing an ace…

A: Given, P (spade) = 1/4 P (Ace) = 1/13       To find, P (Spade or an ace) = ?

Q: he executives in a company are four women and three men. Three are to be chosen at random to attend…

A: Comments: As per our guidelines we are supposed to answer only three subparts. Kindly repost other…

Q: Assume you are given a five-question multiple-choice quiz.  Each question has 5 possible answers:…

A: It is given that, there are  5 questions multiple-choice quiz and each question has 5 possible…

Q: Assume that you select 4 coins from 8 coins: 6 dimes and 2 quarters. What is the probability that…

A:

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

A: The total number of students= 12+7+11+3+8+13+4+7=65 students. Among them, (11+4)=15 students play…

Q: a) In how many ways can the committee be chosen? 77520 b) What is the probability that the committee…

A: Given that Number of freshmen = 8 Number of sophomores = 12 Committee size = 7

Q: You draw one card from a standard deck of playing cards at random. (Give your answer as a fraction…

A: From the provided information, Total cards in a standard deck = 52 Total spade cards = 13 Total…

Q: A bag contains 1 red marble, 1 green marble, and 1 blue marble. (a) Create a table to show the…

A: step1:Given thatBag contains 1 red, 1 green and  1 blue marblespining have 4 equal region of…

Q: You are going to draw 5 cards (without replacement) from a standard deck of 52 playing cards.…

A: There are total 52 cards.  We can pick the jack of clubs first in only 1 way.  the probability of…

Q: Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a…

A: We need to find the given probability.

Q: In a bingo game , there are 75 balls. in the first draw, determine the probability that ball is a. A…

A:

Q: A fair coin is tossed 7 times. (a) What is the probability of exactly 4 heads in the 7 tosses? (b)…

A:

Q: There are thirteen female board members and seventeen male board members. You should show your work…

A: Solution

Q: Tollowing, leave answers as unreduced fractions only. A) If one person is chosen at random, what is…

A: Contingency Table     Dogs Cats Total Male 43 7 50 Female 31 19 50 Total 74 26 100

Q: A bucket contains 5 green tennis balls, 2 yellow tennis balls, 6 red tennis balls, and 8 blue tennis…

A: From the provided information, Green tennis balls = 5 Yellow tennis balls = 2 Red tennis balls = 6…

Q: Using a fair coin and a fair six-sided number cube, what is the probability of tossing tails and…

A: The outcomes of rolling a fair cube are, {1, 2, 3, 4, 5, 6}.

Q: If the wheel is spun and each section is equally likely to stop under the pointer, determine the…

A: We have to find the probability that pointer lands on a number less than 5 and the colour of the…

Q: A drawing class was assigned a final project where students had to choose one art medium and one…

A: Given problem Given that   A drawing class was assigned a final project where students had to…

Q: A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn…

A: Givenno. of ace cards = 4no. of king cards = 4no. of diamond cards = 13total no.of cards = 52

Q: 1. In the Massachusetts Pick Four lottery game, you win the jackpot by selecting 4 different whole…

A: We have to find given probability...

Q: Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all…

A:

Q: Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all…

A: There are total 24 donuts.

Q: Elizabeth brought a box of donuts to share. There are​ two-dozen (24) donuts in the​ box, all…

A: Given: Box contains 24 donuts, all identical in size, shape and color. Number of Jelly filled donuts…

Q: Consider the case where six Scrabble tiles labeled A, B, C, D, E, and T are placed in a bag, and…

A:

Q: Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a…

A:

Q: A drawing class was assigned a final project where students had to choose one art medium and one…

A:

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.