Each of the two friends tosses an unbiased coin ten times. What 1s the probability that each one gets the same number of heads?

Q: Sarah is about to draw a card at random from a standard deck of 52 playing cards. If he draws a…

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Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

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Q: Ethan needs an even number on his next two rolls using the number cube to win the game he is…

A: Given: Number of sides = 6 Number of even side numbered = 3 (2,4,6)

Q: You ask a friend to think of a number from 4 to 10. What is the probability that his number will be…

A: S= number from 4 to 10 = {4,5,6,7,8,9,10} A = number will be a multiple of three = {6,9}

Q: A coin is tossed and a single 6-sided die is rolled.  Find the probability of landing on the tail…

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Q: Roll a die 3 times. Find the probability of getting at least one 6.

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Q: In a throw of a coin, find the probability of getting a head.

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Q: Your favorite basketball player makes 79% of his free-throw shots. The probability that he does NOT…

A: Given that the basketball player makes 79% of his free-throw shots.so, P(he makes a free-throw…

Q: Suppose you roll a red die where each face represents a number from 1 to 6. Determine the…

A: When a die is rolled n(S)=6 S={1,2,3,4,5,6}

Q: Find the indicated probability.  In one town, 39% of all voters are Democrats. If two voters are…

A: From the given information, it is clear thatThe probability that all voters are democrats= 0.39.That…

Q: A die is thrown 5 times. Z= Number of Even numbers. Find the probability of getting exactly 3 even…

A: Givena die is thrown 5 timesn=5probability of getting even number =36=0.5          (since there are…

Q: Madison usually receives 4 letters in the mail each week. Find the probability of receiving 8…

A: Given that  Madison usually receives 4 letters in the mail each week. We have to Find the…

Q: A golfer putts the ball into the hole 48.7% of the time (if within 10 feet of the hole). Find the…

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Q: Find the probability that a child flipping an old coin gets the second head on the 8th flip.

A: Here, x=8, k=2 and p=0.5. The general formula for the negative binomial distribution is,…

Q: A coin is tossed 10 times. Find the probability of tossing five or six heads.

A: Given that a coin is tossed 10 times. Note that probability for getting one head in one toss p is…

Q: A jar contains 4 pennies, 3 nickels and 6 dimes. A child selects 2 coins at random without…

A: 4 pennies 3 nickels 6 dimes ______________ 13 total coins   select 2 coins at random without…

Q: Jessica tosses a 50p coin twice. What’s the probability she’ll get two heads?

A: The number of times Jessica tosses a 50p coin=2

Q: Yvonne tosses three coins. She is calculating the probability that at least one coin will land as…

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Q: A student takes a four-question, True or False quiz and guess at every answer. What is the…

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Q: Terry purchases 25 scratch off lottery tickets. Each ticket has a 10% chance of winning. What is the…

A: Given: Sample size (n)=25. The probability of winning is p=10%=0.10.

Q: you flip a coin 6 times whats the probability of them all being heads?

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

A: Probability = Number of Possible outcomes/Total outcomes

Q: A quiz consists of 10 multiple-choice questions. Each question has 5 possible answers, only one of…

A: Given Data: The number of multiple-choice question is: n=10 The total  number of possible answers…

Q: c. Find the probability that a patient randomly selected from the study had cancer OR was on the…

A: (c )   Obtain the probability that a patient randomly selected from the study had cancer OR was on…

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 that the 12 cards being dealt contain equal number of suits.

A: The probability is the chance of occurrence of observations can involve in the sample by given equal…

Q: A baseball player gets 15 hits in 50 times at bat. The probability of the batter getting a hit is

A: Given that the baseball player gets 15 hits in 50 times at bat.

Q: A student takes a true-false test but did not study and randomly guesses each answer. There are 20…

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

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Q: Calvin makes 65% of the penalty kicks he takes. He is practicing penalty kicks with his friend…

A: From the provided information, Sample size (n) = 10 Calvin makes 65% of the penalty kicks he takes…

Q: Suruchi has $1.64 worth of change in the bottom of her purse.              If she reaches into her…

A: Given: Total number of coins = 12 Number of nickel = 3

Q: Jenny sells ‘honey tea’ to raise fund for homeless people. The probability of making a sale is,…

A: Given, Jenny sells ‘honey tea’ to raise fund for homeless people. The probability of making a sale…

Q: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

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Q: Find the probability that a child flipping an old coin gets the second head on the 6th flip.

A: Consider that tossing coin is a trials . which are independent .  Let's take it as a success  if a…

Q: Cai tosses four coins. Determine the probability that they are all tails

A: When a fair coin is tossed the probability of getting heads is 1/2 and probability of getting tails…

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…

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.