An urn contains 5 red and 10 black balls. We draw two balls from the urn without replacement. What is the probability that the second ball drawn is black?

Q: If 8 different books are arranged at random on a shelf, what is the probability that a certain pair…

A: The number of books are 8.

Q: An urn contains 4 red and 5 white balls. Two balls are drawn in succession without replacement. If…

A: Given data: The numbers of red balls are r=4. The numbers of white balls are w=5. The expression for…

Q: An urn contains 5 red and 3 white balls. Two balls are drawn in succession without replacement. If…

A: Given:-   red balls =5 white balls =3 total balls =3+5 =8 Two balls are drawn without replacement.…

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 Coin and a Die are tossed together, what is the Probability that a Head e on the Coin and number 5…

A:

Q: A coin is loaded so that the probability of a head occur getting all heads or all tails?

A: Introduction: The chance of an incident occurring is outlined by chance. There are several…

Q: If a dice is rolled, what is the probability that a 3 or 4 is rolled before a 6

A: We have given that,  When a dice is rolling,  Then,  We will find the probability a 3 Or 4 is rolled…

Q: You draw one card at random from a standard deck of 52 playing cards. What is the probability that…

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Q: Two Cards are drawn from a deck of 52 cards. If the first is not replaced, calculate the probability…

A: There are 4 jack and 4 queen respectively in the deck of 52 cards.

Q: If 5 persons are to be seated in a round table, what is the probability that a certain boy and girl…

A:

Q: In a deck of cards, Kings, Queens and Jacks are called the face cards. If 4 cards are randomly…

A: There are total 12 face cards in a deck of cards. Because 3 of each suit. And there are 4 suits. So…

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: A balanced, six-sided die is rolled 3 times. What is the probability a 5 comes up exactly twice? *

A: Given A six sided die is rolled 3 times.

Q: In a group of 5 people, what is the probability that at least two of them have the same birthday?…

A: Given: group of 5 people group of 50 people  we want to find probability that at least two have the…

Q: There are 9 red balls, 7 blue balls, and 4 green balls in a box, If a ball is drawn, what is the…

A: Total number of balls in a box are (9+7+4)=20 The probability that a ball drawn is not blue implies…

Q: What is the probability that in four births exactly two girls will be born?

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: There are 4 jacks in a standard deck of 52 playing cards. If Patricia selects a card at random, what…

A: There are 4 jacks in a standard deck of 52 cards.

Q: Two coins are tossed, what is the probability that at least one is heads?

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Q: If a single die is tossed and then a card is drawn from a deck, what is the probability of obtaining…

A:

Q: A fair red, green, blue and yellow spinner is spun and a 6-sided die is rolled. Determine the…

A: Given : A fair red, green, blue and yellow spinner is spun Hence, the probability of spinning any…

Q: Students who have qualified for a scholarship include students from Fayetteville High​ School, from…

A:

Q: If 5 cards are drawn from a standard deck of playing cards, what is the probability that exactly 3…

A:

Q: If one card is drawn from a well-shuffled bridge deck of 52 playing cards (13 of each suit), what is…

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Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

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Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: What is the probability that the card is a diamond and a face card?

A: Given that; A deck of 52 cards.

Q: If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a…

A: It is given that, Two cards are drawn from the deck. Total number of cards in a deck=52 Total number…

Q: A card is drawn from a standard deck of 52 cards. What is the probability that the card is a Jack?

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Q: One card is drawn of random from a pack of 52 cards. What is the probability that the card drawn is…

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Q: If two coins are tossed,what is the probability obtaining at most one head?

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Q: An urn contains 5 red and 7 white balls. Two balls are drawn in succession without replacement. If…

A:

Q: You draw one card at random from a standard deck of 52 playing cards. What is the probability that…

A: Probability = number of outcomes/ total outcome

Q: If two cards are drawn from a deck, what is the probability that at least one of the cards will be a…

A: 3 ways of drawing at least one face card Face card - Face card Non Face card - Face card Face card -…

Q: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6?

A: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6…

Q: In Sipadan, Malaysia, there is a national park where up to 100 dolphins can be found. Suppose we…

A: The total number of dolphins in the park is 100. a. Since the number of female dolphins is 10. The…

Q: Two coins are tossed, what is the probability that exactly one is heads ?

A: if two coins are then the possible outcomes areS=HH,HT,TH,TT

Q: A bag contains 4 green, 6 black and 7 white balls. A ball is drawn at random. What is the…

A:

Q: If one card is drawn from a well-shuffled bridge deck of 52 playing cards, what is the probability…

A: It is known that Number of Jack = 4 Number of spades = 13 Number of jack and spade = 1 Total cards =…

Q: If 13 cards are drawn from a deck, what is the probability that at least 2 of the cards are hearts?

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Q: What is the probability that at least one of the next four cars that enter the lot is a sedan?

A: Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are…

Q: What is the probability of drawing 2 red balls and then 3 blue balls from an urn containing 6 red…

A:

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

A: Given ,              no. of red balls = 4              no. of white balls = 4              Total no.…

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

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

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: There are 6 balls in an urn: 1 red, 2 green, and 3 blue. An experiment has the following rules: i.…

A: The total number of balls, N is 6. There are 1 red, 2 green and 3 blue balls. Here, the ball will be…

Q: If we draw 10 cards for my standard 52 card deck, what is the probability that all 10 cards are…

A: Let, x is the number of cards drawn, 10. y is the number of cards of hearts. The total number of…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.