A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be drawn randomly from the box, what is the probability of having 3 balls of the same color?

Q: A bag contains 9 black, 5 red, 7 white, and 4 purple balls. What is the probability of choosing: A…

A: We A and B are mutually exclusive then  P(A or B )=P(AUB)=P(A)+P(B)

Q: If 5 cards are dealt from a standard deck of 52 cards, what is the probability that 3 are red and 2…

A: Given information: 5 cards are dealt from a standard deck of 52 cards. Need to find the probability…

Q: A six-sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of…

A: Given the die has six faces numbered 1, 2, 3, 4, 5 and 6 The sample space, S= { 1, 2, 3, 4, 5, 6 }…

Q: A card is picked from a deck of cards, what is the probability that it is a number divisible by 2 or…

A:

Q: A basket contains 6 white socks , 4 blue socks, and 2 black socks. What is the probability of…

A:

Q: If one card is randomly chosen from a standard deck, what is the probability that a 5 is chosen,…

A: A pack of cards contains 52 cards in total with 13 Spades, 13 Diamond, 13 Hearts & 13 Clubs.

Q: If one card is randomly chosen from a standard deck, what is the probability that a black 7 is…

A: Introduction: Suppose an experiment has a total of n mutually exclusive and exhaustive outcomes. If…

Q: A six person committee must be formed from a group of 6 boys and 7 girls. Determine the probability…

A: A six person committee must be formed from a group of 6 boys and 7 girls Total students = 6 + 7 = 13…

Q: In a poker hand consisting of 5 cards, what is the probability of holding 2 aces and 2 kings?

A: In a poker there are total of 52 cards , out of 52 cards a person gets 5 cards.  The number of ways…

Q: If an urn has 5 white balls and 10 red balls, what is the probability that 5 randomly selected balls…

A: Given that there are 5 white balls and 10 red balls. Total number of balls is 5+10=15. And 5 balls…

Q: In a​ two-card hand, what is the probability of holding only face​ cards? (Aces are not face​…

A: Given, Two-cards are in hand Total 52 cards in deck. There are 12 face cards in a deck of 4 suits.…

Q: On a deck of 52 playing cards, what is the probability of drawing either a heart or a club, then a…

A:

Q: In a particular class, there are 12 freshmen, 6 sophomores, 4 juniors, and 2 seniors. If the…

A: Given,no.of freshmen=12no.of sophomores=6no.of juniors=4no.of seniors=2total no.of students =24

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: If an urn has 10 white balls and 5 red balls, what is the probability that 4 randomly selected balls…

A: Hypergeometric distribution is given by

Q: If we draw a 5-card hand from a standard 52 card deck, what is the probability that all 5 cards are…

A: There are total 13 hearts in a standard deck of 52 cards.

Q: At a car manufacturing plant, 10% of cars have some sort of defect when they come off the line. If…

A:

Q: From a bag containing 5 red, 8 black and 17 white balls, a ball is drawn. What is the probability…

A: From the provided information, A bag containing 5 red, 8 black and 17 white balls. Total balls = 5 +…

Q: In a small private school, 5 students are randomly selected from 12 available students. What is the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Out of forty student, 14 are taking English composition and 29 are taking Chemistry. If five…

A:

Q: If an urn has 5 white balls, 10 red balls, and 6 green balls, what is the probability that 4…

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Q: (b) What is the probability that exactly 4 of the same color are drawn?

A: We have given that  A deck of cards contains 24 cards: 10 red cards and 14 black cards. 5 cards are…

Q: If 5 people get on an elevator which will stop on 9 floors, a) what is the probability that no…

A: Given 5 people get on a elevator which will stop on 9 floors. We need to find probability that no…

Q: A bag contains fibe green marbles,3 red marbles,and 4 white balls.What is the probability that a red…

A: Given, A bag contains 5 green balls,3 red balls, and 4 white balls To find the probability that a…

Q: A street magician showed a trick where he picked one card from a standard deck. Determine what the…

A: Introduction: The probability of an event in an experiment is the number outcomes in the experiment…

Q: A street magician showed a trick where he picked one card from a standard deck. Determine what the…

A: In a standard deck of card, there are total 52 cards.  Among those 52 cards, 4 cards are kings.

Q: In the game of euchre, the deck consists of 9 , 10 , jack , queen , king and ace of each suit .…

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: What is the probability that a hand of 4 cards contains exactly 3 cards that are the same suit?

A: We have to find given probability ...

Q: What is the probability of selecting a 6 or a res card from a 52 card deck?

A: Solution:Total number of ways of drawing 1 cards from 52 cardsn(S)=52Let E = event of getting 1 card…

Q: What is the probability of rolling six dice and getting at least one matched pair?

A: From the provided information, The total outcomes rolling 6 dice = 66 The possible outcome of no…

Q: In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit.…

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit.…

A:

Q: A closet contains four pairs of shoes. If four shoes are chosen at random, what is the probability…

A: It is given that a closet four pairs of shoes. Hence, the total number of shoes (n) would be 8.…

Q: A bag has 15 red, 15 blue, and 15 yellow marbles in it, what is the probability of drawing 2 red…

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Q: A bag of candies has blue,green,yellow, and red candies in it. What is the probability of randomly…

A: Given that a bag of candies has blue, green, yellow and red candies in it. To find the probability…

Q: A bag contains 9 black, 5 red, 7white and 4 purple balls. What is the probability of choosing: a).…

A: Given,no.of black balls=9no.of red balls=5no.of white balls=7no.of purple balls=4total no.of…

Q: If a card is picked at random from a standard 52-card deck, what is the probability of getting a…

A: A deck consists of 52 cards. n(S)=52 P(Black card or Queen)=?

Q: Determine the probability of the card being either red or a King when one card is drawn from a…

A:

Q: In the game of euchre, the deck consists of 9 , 10 , jack , queen , king and ace of each suit .…

A: Since there are 6 cards of each type, the total number of cards are 6x4=24Each player is dealt 5…

Q: According to the chart below What is the probability that a randomly selected household will have at…

A: From census information it is found that, chance of a house hold being in certain size is: Size…

Q: The 52 cards in a shuffled deck are dealt equally among four players, call them A, B, C, and D. If A…

A: According to the provided information, The 52 cards in a shuffled deck are dealt equally among four…

Q: When taking two cards from the playing cards, what is the probability of getting the number 9 in…

A: Given :  Taking two cards from the playing cards, what is the probability of getting the number 9 in…

Q: Find the probability that a card drawn at random from a well-shuffled deck is ace or jack?

A: W ehave to find given probability.

Q: Of the 30 people working out in the gymnasium one afternoon, 25 are nonsmokers. If 5 are randomly…

A: Here N= 30 and 25 are nonsmokers,  So probability of being nonsmokers is p= x/N q=25/30  q=0.833…

Q: If eight coins are​ flipped, what is the probability of obtaining at least one head​?

A: Given information- We have given 8 coins. We know that- Probability of getting head (p) = 1/2 = 0.5…

Q: If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected…

A: From the given information,   Total members = 60 Number of women = 10 Number of men = 60 -10 = 50

Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.