Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls to see if you will win any money. Suppose that you win $2 for each black ball selected, you lose $1 for each white ball selected, and you get nothing for each orange ball selected. If the casino lets you play this new casino game with no entry fee, what is the probability that you will not lose any money?

Q: You are dealt with one card from a 52- card deck. Find the probability that you are not dealt a…

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

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

A:

Q: If you are dealt 7 cards from a shuffled deck of 52 cards, find the probability of getting four…

A: From the provided information,We are dealt 7 cards from a shuffled deck of 52 cards.Total cards =…

Q: Find the probability of being dealt a bridge hand of 13 cards containing 5 spades, 2 hearts, 3…

A:

Q: You have three jars of gumballs. The first jar has 80 white gumballs and 20 green, the second jar…

A: Ist jar =80 white+20 green Second jar: 80 white+170 blue Third jar: 500 white+20 red

Q: You are dealt one card from a​ 52-card deck. Find the probability that you are dealt a heart or a…

A:

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

A:

Q: You are dealt one card from a 52 card deck. Find the probability that you are not dealt an even…

A: Answer:- Total number of cards in a deck = 52  We know that, total number of even cards in a deck  =…

Q: There are 2 blue balls, 1 white ball and 3 red balls in an urn. 2 balls are drawn at random. Find…

A: It is given that Number of blue balls = 2 Number of white balls = 1 Number of red balls = 3 Total =…

Q: You are dealt a hand of 13 cards, find the probability that you have 4 hearts, 3 spades, 5 diamonds…

A: Given that  Total number of cards=52 Number of hearts cards=13 Number of spades cards=13 Number of…

Q: A gumball machine at the local pizza place is filled with plastic toys. The machine has 30 rings, 40…

A:

Q: You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a face…

A: It is given that dealt one card from a standard​ 52-card deck.

Q: Ian rolls the two dice and will win the game if the sum of the numbers of the two dice is 8. What is…

A: Two dice are rolled, outcome of this event is: Ω= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: There are 20 sides to the messages.  What is the probability of getting the same message 2 times in…

A: The probability of getting a specific message on the first try is 1/20,since there are 20 total…

Q: . Find the probability that you get exactly 14 green cubes and exactly 12 orange cubes.

A:

Q: Find the probability of dealing two red cards from a standard deck of cards.

A: In a standard deck of cards, there are 52 cards in total out of which there are 26 red cards and 26…

Q: The contestant selects a box at random and selects a bill from the box at random. If a $100 bill is…

A: Let us define some events A : bill is from box 1. B : bill is from box 2. C : bill is from box 3. D…

Q: an urn contains 4 red balls and 6 green balls. pick a ball; keep it; pick another ball. then the…

A: No.of red balls=4 No.of green balls=6 Total no.of balls=10

Q: The actual cards “Will Bill” Hickok was holding when he was shot were the aces of spades and clubs,…

A: Introduction: A standard deck has 52 cards.

Q: One bag contains 4 white balls, 3 green balls, and 3 yellow balls.  A second bag contains 2 white…

A: 1st  bag :no.of white balls=4no.of green balls=3no.of yellow balls=3total no.of balls=102nd bag…

Q: You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a heart…

A: A standard deck of cards contains foursuits of 13 spades, 13 clubs, 13 hearts and13 diamonds.

Q: Find the probability of drawing a black king and black queen from well shuffled deck of 52 cards.

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Q: A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow roses.…

A: Given, A bunch of mixed colored roses has 5 red roses, 3 pink roses, 2 white roses, and 2 yellow…

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: Suppose you are going to form a committee of students and faculty. You have 11 total students and 10…

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Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a club.

A:

Q: A pet store has 10 puppies, including 4 poodles, 2 terriers, and 4 retrievers. If Rebecka selects…

A:

Q: If you roll 6 six-sided dice, find the probability that the sum of the dice is greater than 7.

A: A six-sided die is rolled 6 times. The objective is to find the probability that the sum of the dice…

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.