A student prepares for an exam by studying a list of 10 problems. She can solve 7 of them.  For the exam, the instuctor selects 6 problems at random from the list of 10. What is the probability that the student can solve all 6 problems on the exam

Q: Jack and Tim play a rock-paper-scissors game. They play a total of 3 independent games, the one who…

A: Given the games played independently Therefore, Winning of game is equally likely Probability Jack…

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

A:

Q: Tony and Sam play chess (either of them wins, draw is not allowed).  If Tony plays White,…

A: It is given that the probability that  Tony wins using white is 0.72. So, the probability that Sam…

Q: There are 5 marbles in a jar.  They each have a number.  The numbers range from 1 – 5. Write a…

A: Given: 5 marbles in jar Numbered from 1 to 5

Q: If the probability of Ali and Hamad winning in a competition is 0.37 and the probability of losing…

A: It is given that the   probability of Ali and Hamad winning in a competition is 0.37 i.e. P(Ali and…

Q: A coin is tossed 2 times. Find the probability of head followed by tail.

A: Given :  A coin is tossed 2 times. The number of outcomes = 22 = 4 The possible outcomes are {HH,…

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: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: Todd and Tiff both train pets. Todd trains 30% of pets and Tiff trains 70% of pets. Todd’s pets are…

A: Given that P(Todd trains)=0.30 P(Tiff trains)=0.70 P(female| Todd) =0.55 P(female| Tiff) =0.65

Q: If you roll two dice, each with 8 faces/sides, what is the probability that you will get a sum of…

A: Given that If you roll two dice, each with 8 faces/sides, than we have to find the probability that…

Q: A box contains 4 chocobars and 4 ice creams. Tom eats 3 of them one after another. What is the…

A: Given,no.of chocobars=4no.of ice creams=4total no.of items=8

Q: Q1- A box contains four chocobars and four ice creams. Tom eats 3 of them one after another. What is…

A: Solution is given below

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: Find the probability of 3 coins showing all heads when tossed simultaneously.

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Q: You go to a shelter. There are 15 cats and 12 dogs. If you choose 2 random animals, what is the…

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Q: Allie plays on the varsity basketball team and makes 79% of her free throws. If she takes 12 shots,…

A:

Q: If two players play this game

A: Fair means The coin has to get a chance heads or tails is 50-50%. unfair coins having more chances…

Q: Ramn can solve 80 per cent of the problems given in his statistics book. Mohanh can solve 70 per…

A:

Q: Kai and Paula are two of the five members of a singing group. Every week, the group picks two names…

A: Here Given  There is 5 members group And 2 members are chosen for each week.

Q: Suppose you flip eight fair coins   What is the probability of flipping less than three heads? What…

A: Introduction:If X ~ Bin (n, p), then the probability mass function of X is:p (x) = (nCx) px (1 – p)n…

Q: A grocery store had 10 cartons of milk, 2 of which are strawberry flavored. If you are going to buy…

A: Given A grocery store had 10 cartons of milk, 2 of which are strawberry flavored.  If you are going…

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…

Q: Three men are seeking public office. Candidates A and B are given about the same chance of winning,…

A: Given :  Three man are seeking public office. Candidates a and b are given about the same chance of…

Q: Suppose you flip eight fair coins.   What is the probability of flipping exactly eight heads? What…

A: Binomial distribution:The events that has exactly two possible outcomes (success or failure) follows…

Q: Richard has been given a 6-question multiple-choice quiz in his history class. Each question has…

A: n=6, p=2/3 , X~Binomial(n=6, p=2/3)  Let X be the number of incorrect question. p be the probability…

Q: Whitney wants to practice shooting for basketball.  Her mom will give her $20 if she makes 3 free…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: A Bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double…

A:

Q: 8. Dad's music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: 5 rock music albums  3 classical music albums  1 love song album ____________________________ 9…

Q: Suppose you were to flip a fair coin 7 times and you recorded the number of Tails that you received.…

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Q: A basketball player makes an average of 2 free throws out of every three attempts. If the player…

A: Out of total 3 throws, 2 are made by the player. So the probability of making a throw will be ratio…

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.