A fair coin is flipped six times. What is the probability that heads occurs exactly 5 times if it is known that heads occurs at least three times?

Q: A deck of cards contains 24 cards where 4 are red. If 6 cards are drawn at random without…

A: We have given that a deck of cards contains 24 cards where 4 are red and rest(20) are non-red cards.…

Q: What is the probability that any two peas aregreen and two are yellow in a pea pod with exactly four…

A: For each pea, there are 2 options green and yellow.  Let us denote G=green and Y=yellow So the…

Q: 4. If you tossed a coin 20 times and it landed on heads 12 times, what is the probability that it…

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Q: If you flip a fair coin and then flip a second fair coin, what is the probability that you get heads…

A: Two fairs coins are flipped once. Each of the coin flips can have either of the two outcomes - heads…

Q: fair coin is tossed four times, and at least one of the tosses results in heads. What is the…

A: Given: One fair coin is tossed 4 times which results the sample space (S) as follows:…

Q: (a) Suppose that 10 % persons in a large group of people are obese. If persons are checked one by…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A fair 6-sided die is tossed and a four coloured spinner (blue, green, yellow, red) is spun. What is…

A: Given that A fair 6-sided die is tossed and a four coloured spinner (blue, green, yellow, red) is…

Q: A fair coin is tossed 25 times. What is the probability that there will be at least 20 heads?

A: Let, X= number of heads  probability of getting a head (success)= p =1/2 =0.5 Probability of…

Q: Consider a deck of cards. What is the probability that we observe a red even number card for the…

A: Combination: Combination is nothing but the number of ways to choose r distinct objects from…

Q: If eggs are laid and there is a 70% chance of them hatching   If there are 8 eggs, what is the…

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

Q: a) What is the probability that exactly two patients will arrive in a given hour? b) What is the…

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Q: A coin is tossed and a 1-5 spinner is spun. hat is the probability getting heads and án odd number?

A: 1. Count the possible odd numbers from 1-5 compared to the even ones 1, 3, 5 (3 out of 5 numbers)…

Q: f you flipped a coin and it lands on heads 7 times in a row, what is the probability it will land on…

A: In the flipping of a coin, all the flips are independent.  If the coin is flipped 7 times, the odds…

Q: A coin is flipped three times. If heads appears exaclty once, what is the probability that it…

A: The possible outcomes when a coin is flipped three times is,

Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

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Q: A fair coin is tossed 4 times, what is the probability that it lands on heads each time

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Q: What is the probability that a person flipping a fair coin requires four tosses to get a head?

A: Answer:- What is the probability that a person flipping a fair coin requires four tosses to get a…

Q: Let a symmetrical coin be tosded 5 times, what is the probability that there are more heads than…

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Q: If there are, on the average, 7 defects in a new car, what is the probability that your new car has…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: Two coins are tossed, what is the probability that at least one is heads?

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Q: 2) A class has seven students. What is the probability that exactly four of the students were born…

A: 2)Givenn=7p=57    (students born on Monday through friday in 7 days)Let "x" be the no.of students…

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third,…

A: A single die is rolled seven times.Probability that a die rolled will land on three = 1/6Probability…

Q: you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail…

A: We want to find probability

Q: A fair 10-sided die is tossed. What is the probability that the numbers 9 or 7 or 2 are tossed?

A: We are given a 10-sided die.So first we need to find outcomes and their corresponding…

Q: You draw a single card at random from a well-shuffled deck of 52 playing cards. What is the…

A: Given information- We have given a deck of 52 playing cards. We have to find the probability that…

Q: Two cards are drawn at random on an ordinary deck of cards. What is the probability that both of…

A: GivenTotal no.of cards = 52No.of kings card in deck = 4No.of diamond cards in a deck = 13

Q: A fair coin is flipped 3 times. What is the probability that at least two heads are flipped?

A: Introduction: Since the coin is fair, the probability of getting a head is the same as that of…

Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up…

A: Given: A fair 6 sided dice which is rolled 9 times. Probability=Number of favourable outcomesTotal…

Q: What is the probability that a computer bug appears at most two times in a day?

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Q: Suppose you shuffle a deck of cards and set it down on the table. (c) What is the probability that…

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Q: A fair coin is flipped 16 times. What is the probability that exactly 8 heads​ appear?

A: Given,n=16p=P(getting a head)=12 X=getting no.of headsP(X=x)=cxn px(1-p)n-x ; x=0,1,2,3.....n

Q: What is the probability that either exactly two heads or exactly two tails will be thrown if six…

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Q: If you roll a fair die and then flip a fair coin, what is the probability that you roll greater than…

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Q: 14) A fair coin is flipped twelve times. What is the probability of the coin landing heads up…

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Q: Draw a card nine times from a shuffled deck, with replacement. What is the probability that…

A: We want to find the probability that precisely five of the draws will be face cards Total face…

Q: If a fair coin is tossed 8 times, what is the probability of tossing a head on the 8th toss, given…

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Q: a single card is selected from a standard deck of playing cards. what is the probability that the…

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

Q: A student is flipping a quarter and the student noticed that three times in a row, the quarter came…

A: The next flip will not depend on the previous results. When we flip a con there are 2 outcomes {H,T}…

Q: A fair coin is flipped 6 times. What is the probability that at least two heads are flipped?

A: Given:  A fair coin is flipped 6 times.

Q: What is the probability that the third toss is heads, given that the first toss is heads?

A: Every toss has two outcomes head and tail. Given that the first toss was head.

Q: 2. A coin is flipped 8 times: • What is the probability it landed heads 5 times? What is the…

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Q: In a certain shipment of 1000 laptops, 20 are defective. If a customer purchases the first 4 laptops…

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Q: A fair coin is flipped 18 times. What is the probability that exactly 8 heads​ appear

A: Provided information: A fair coin is flipped 18 times.

Q: Suppose you toss a coin (heads or tails) three times. If the coin is fair, what is the probability…

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Q: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

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Q: A coin is tossed eight times. What is the probability that the outcome will be eight heads, given…

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Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having a…

Q: If you flip 10 fair coins, what is the probability that: (a) Exactly 5 of them are “heads”? (b) At…

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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.