An urn contains seven black balls and three white ones. Two players, A and B, take turns to draw a ball at random without replacement, until one wins by drawing a white ball. Player A draws first. What is the probability that player A wins on his second draw?

Q: We roll a pair of dice four times. Find the probability that a total of five is rolled each time.

A: roll a pair of dice four times  P(total of five each times) = ?

Q: An urn contains 11 red, 10 white and 37 blue marbles. A child selects two marbles at random and…

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Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black ​balls, 11 yellow…

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Q: A bag contains 4 white and 6 black balls.  If 2 balls are drawn in succession without replacement,…

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Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: An urn contains 5 white balls and 6 red balls. A second urn contains 8 white balls and 4 red balls.…

A: Given data: The numbers of white balls in the first urn are w1=5. The numbers of red balls in the…

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

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Q: An urn contains 15 red, 25 white and 36 blue marbles. A child selects two marbles at random and…

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Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

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Q: We roll a pair of dice three times. Find the probability that a total of five is rolled each time.

A: If we roll a pair of dice one time then the possible outcomes of gettingsum as 5…

Q: Two cards are selected from a standard deck of 52 playing cards. The first is replaced before the…

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Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: An urn contains 2 white balls and 8 red balls. A second urn contains 6 white balls and 4 red balls.…

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Q: A class contains 10 males and 20 females of which half the males and half the females are…

A: We will create a contingency table first. There are 10 males and 20 females (total 30) of which 5…

Q: An urn contains five white, three red, and two blue balls. Two balls are randomly drawn. What is the…

A: a. There are totally 10 balls in an urn out of which five are white, three are red, and two are…

Q: A pair of dice is rolled. Find the probability that the sum of the two dice is 10 or higher

A: A pair of dice is rolled.

Q: A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four…

A: The team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors.

Q: Two cards are selected from a deck of standard deck of 52 cards. The first card is not replaced…

A: There are 52 cards in a standard deck of cards.  We can select 2 cards from 52 cards in 52P2=2652…

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: An urn contains 10 red marbles, 10 white marbles, and 5 blue marbles marbles. A child randomly…

A: It is required to find the probability of obtaining all three marbles of the same color, and the…

Q: In a class there are 18 boys and 12 girls. One child is chosen at random to represent the class.…

A: Answer: The number of boys in a class is 18 and the number of girls in a class is 12. Total number…

Q: A card is selected from a deck. Find the probability that it is a number greater than or equal to 8…

A: Given: n=52 A card is selected from a deck.  To find: The probability that it is a number greater…

Q: An urn contains five white balls and six red balls. The second urn contains eight white balls and…

A: It is an important part of statistics . It is widely used .

Q: A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability…

A: 7-green  balls5-black balls 12- total balls three balls are drawn one after the other we have to…

Q: An urn contains 39 red, 29 white and 16 blue marbles. A child selects two marbles at random and…

A: Total Red Marbles = R=39 Total white Marbles = W=29 Total blue Marbles = B=16 Total Marbles=84

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

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Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

A: According to the given information in this question, we need to find the following probability

Q: The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each…

A: Given problem Given that The chess clubs of two schools consist of, respectively 8 and 9 players.…

Q: In a single throw of two dice, find the probability that neither a doublet nor a total of 8 will…

A: Here, two dice are thrown. Let A denote the event that the dice resulted in a doublet. Let B denote…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5…

A: No.of type A balls =  8 No.of type B balls = 5 No.of type C balls = 6 Total number of balls =19…

Q: A pair of dice are tossed twice.  Find the probability that the first roll is a total of at least 7…

A: A pair of dice are tossed twice  Sample space = 36

Q: An urn contains 3 white balls and 7 red balls. A second urn contains 8 white balls and 2 red balls.…

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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.