If we flip a coin looking for heads, what is the unfavorable outcome?

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of female students is 20. Thus, the total number of students is 20+20 = 40.

Q: What is the probability of frank drawing a diamond and then a heart , without replacing, from the…

A: In a standard deck of 52 cards, there will be 13 diamonds and 13 hearts

Q: If two fair dice are thrown, what are the odds of obtaining a sum of 10?

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Q: Suppose you roll three dice. What is the probability that the smallest number seen is five?

A: Solution: From the given information, three dice are rolled.

Q: What is the probability of getting two tail if one dice is tossed?

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Q: From a pack of playing cards four cards are drawn without replacement. What is the chance that all…

A: We know that  There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: If we roll three six-sixed dice, what's the probability that their sum is even?

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Q: If you flip a coin four times, what is the probability of getting at least a head and at least a…

A: probability of getting at least a head and at least a tail =1- Probability of having no head and…

Q: An experiment involves tossing a pair of dice, one

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Q: If n fair six-sided dice are tossed and the numbers show- ing on top are recorded, how many

A: (a) Suppose that the tasks T1, T2,..., Tk are to be performed in sequence. If T1 can be performed in…

Q: What is the probability of getting exactly two Heads in a single throw of three coins?

A: given experiment: a single throw of three coins.now, sample space…

Q: if you flip a fair coin 10 times, what is the probability of getting all heads

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Q: Are the outcomes of every experiment equally likely?

A: We need to justify if outcomes of every experiment are equally likely

Q: Discuss the concept of probability, including the notion of an experiment, outcomes, and sample…

A: A random experiment is a mechanism that produces a definite outcome that cannot be predicted with…

Q: What is the probablity of rolling a 2 or a 4 on a dice?

A: a dice have 6 sides  all outcomes are equally possble s : {1,2,3,4,5,6}   p(roll 2 or 4) = ?

Q: What is the probabilty of flipping heads on a coin then flipping tails?

A: Outcomes of the event - 1. Heads on first flip, Heads on second flip2. Heads on first flip, Tails on…

Q: What is the probability of randomly selecting a cat?

A: here given Table    Cat Dog Total student 11 29 40 professor  20 17 37   31 46 77 use…

Q: If the marble we select is yellow, what is the probability that we chose the first bin?

A: here given , We have two bins. The first bin has 6 blue marbles and 4 yellow marbles. The second bin…

Q: What is the fewest number of times you must roll a six-sided dice before you can be assured that n…

A: The Pegion Hole Principle: Suppose that  and  are natural numbers and that we are distributing…

Q: In rolling a pair of dice, what is the probability of getting a sum of 56?

A: Provided information is ; Rolling pair of dice Therefore; S = { (1,1), (1,2), (1,3), (1,4), (1,5),…

Q: If you roll a single, six-sided die, what is the probability of getting either a 4 or a 5?

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Q: Suppose you roll two five-sided dice (each with sides labeled 1 through 5).  What is the probability…

A: The sample space for two five-sided dice is : S= {(1,1)(1,2)(1,3)(1,4)(1,5)…

Q: If a pair of (fair) dice are thrown, what is the probability that the sum of the numbers shown is…

A: Given data isA pair of dice are thrownthen the out comes…

Q: How would you explain the difference between mutually exclusive and independent events?

A: Consider an experiment of tossing two coins, Then the sample space is  Ω = { HH, HT, TH, TT…

Q: In rolling a pair of fair dice, what is the probablity of rolling a sum of ten?

A: The provided information is  The rolling a fair dice. The sample space is…

Q: On average, how many dice would you expect to show a "4"? die (dice)

A: Geometric distribution is the probability distribution of the number X of Bernoulli trials needed to…

Q: Find the probability of getting exactly one head when two unbiased coins are tossed together.

A: To find the probability of getting one head exactly: The possibilities of two unbiased coins tossed…

Q: Suppose that we roll two dice, what is the probability of getting a sum of 6 or 8?

A: In rolling two dice, the possible outcomes are…

Q: In the experiment of rolling two dice, what is the probability that the difference between the…

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Q: 4. A coin is tossed 25 times. Estimate the chance of getting 12 heads and 13 tails.

A: As per company guidelines I solved only First questions.thank you

Q: How many possible outcomes would there be if four dice were rolled?

A: we know that if n dice are rolled than the possibleoutcomes are6×6×6×6×.......×6ntimes=6n

Q: What is the probability of a family having five boys born in a row?

A: chance of having a boy, is 0.5. and to have 5 boys in a rowit is with same chance always…

Q: what is the probability of getting one or more tails one flipping two coins?

A: Solution: Suppose a coin is tossed two times.

Q: In an unbiased six-sided dice, find the probability of the result being 6, if the probability of…

A: Given that, unbiased six-sided dice We have to find the probability of the result being 6, if the…

Q: If a biased coin has a probability of heads that is twice the probability of tails and is flipped…

A: For a biased coin, Consider the probability of occurring tails = x The probability of heads is twice…

Q: If you flip a fair coin 10 times, what is the probability of getting all heads? If X = # heads,…

A: We have given that A fair coin is flipped 10 times.X: Number of heads We have to calculate P(X=10)…

Q: If you flip three fair coins, what is the probability that you'll get all three heads?

A: Given that,Three fair coins are tossed.

Q: What are the possible outcomes when three coins are tossed simutaneously? What is the probability…

A: Ans -  The possible outcomes when three coins are tossed simultaneously          Sample space S =…

Q: what is the probability of getting a total of 8, 9, or 11 when a pair fair of dice is tossed

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Q: In probability and statistics, what is each repetition of an experiment called?

A: In probability and statistics, what is each repetition of an experiment called Trial.

Q: In a three-coin experiment, what is the probability of getting no tails?

A: Given: The objective is to find the probability of getting no tails in a three coin experiment.

Q: In a three-coin experiment, what is the probability of getting a. 1 head? b. 2 heads? c. 3 heads?

A: When we toss three coins simultaneously then the total possible outcomes are: 23=8 That is, HHH,…

Q: suppose you roll a pair of fair 6 sided dices what is the probability that one of the rolls is an…

A: If two 6 sided dice are rolled then sample space is given by-…

Q: Suppose you roll two five-sided dice (each with sides labeled 1 through 5). What is the probability…

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Q: If two events are complimentary what is the probability of P(A and B) ?

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Q: Are the two events in each scenario mutually exclusive or not? Explain. a) Rolling a sum of 5 or a…

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Q: A coin is tossed up twice. What is the chance of getting at least one head?

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Q: if there are 3 MCQ if we answer randomly(by guessing)  what's the probability of getting exactly one…

A: Consider,Sample size (n) = 3.Assuming probability of success (p) = 0.25