A coin is flipped three times. If heads appears exaclty once, what is the probability that it occured on the third flip?

Q: A six-sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of…

A: Given the die has six faces numbered 1, 2, 3, 4, 5 and 6 The sample space, S= { 1, 2, 3, 4, 5, 6 }…

Q: In a class of 8 students, what is the probability that at least one was born in July?

A: c) Given that there are 12 months in a year. The probability that student born in July is…

Q: A department of commerce enrolls 125 students out of which 50 are girls. If 15 girls and 25 boys of…

A: It is given that, A department of commerce enrols 125 students out of which 50 are girls. It means…

Q: An ordinary 52 - card deck is thoroughly shuffled. You are dealt four cards up. What is the…

A: The number of ways, four cards can drawn from a 5ordinary 52-card deck is,…

Q: If birthdays are equally likely to fall on any day, what is the probability that a person chosen at…

A:

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: He can select 5 numbers from 45 numbers in 45C5=1221759 ways He can select a number from 32 numbers…

Q: A regular poker hand is drawn from a well-shuffled deck of cards. What is the probability that it…

A: Solution:From the given information, regular poker hand is drawn from a pack of cards. In drawn…

Q: A Coin and a Die are tossed together, what is the Probability that a Head e on the Coin and number 5…

A:

Q: A coin is loaded so that the probability of a head occur getting all heads or all tails?

A: Introduction: The chance of an incident occurring is outlined by chance. There are several…

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: The Binomial probability distribution is: PX=xnxpx1-pn-x In the formula, n denotes the number of…

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: If three coins are tossed simultaneously, the probability of getting at least one head is

A: Given that three coins are tossed simultaneously. we have to find PROBABILITY of getting at least…

Q: If five coins are​ flipped, what is the probability of obtaining at least one tail​?

A: Formula : Binomial distribution is given by

Q: In a group of four students, what is the probability that at least two have the same astrological…

A: Our Aim  is to find the probability that in a group of four students at leasttwo have the same…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: A fair coin is tossed four times. What is the probability of obtaining  A) Exactly one head?

A: The probability of getting head is   Let the R.V X denotes the number of heads and it follows the…

Q: If a die is tossed twice, what is the probability of rolling a 2 followed by a 3?

A: If a die is tossed then probability of getting 2 in a trial = 1/6 and probability of getting 3 in…

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

A:

Q: If a randomly selected person from the survey drives a what is the probability that he is a 'male"?

A: Solution

Q: A baby born in 2011 is randomly selected. What is the probability that the baby was born in March?

A:

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: If a person draws five cards from a standard deck (without replacing them), what is the probability…

A: The standard deck contains 52 cards in which 12 face cards. Number of ways 5 cards are drawn from a…

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: If they have one child, what is the probability that it is a boy?

A: If they have one child, then there will be two outcomes Girl, Boy Number of elements in sample space…

Q: If a fair coin is successively tossed, find the probability that the first head appears on the fifth…

A:

Q: At a car manufacturing plant, 20% of cars have some sort of defect when they come off the line. If…

A: Given dataProbability of defect in a car(p) = 0.20n = 99According to Binomial theoremProbability of…

Q: Joseph rolls a 6-sided die, observes the outcome, and then tosses a coin according to the number he…

A: We want to find the conditional probability

Q: f seven fair coins are simultaneously tossed in the air, what is the probability

A: When a coin is tossed Probability of getting heads is =0.5 Probability of getting tails is =0.5 If 7…

Q: If records indicate that 4 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Given that 4 houses out of 1000 are expected to be damaged by fire in any year. Therefore,…

Q: If two cards are randomly drawn from a standard 52-card deck, what is the probability that the first…

A: Case ( i ) Two cards are selected at random from a deck of 52 cards WITHOUT replacement. The first…

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

A:

Q: When a single card is drawn from a well-shuffled deck of cards, what is the probability that it will…

A: Given, n = 52 cards single card is drawn.         To find, The probability that it will be an ace…

Q: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

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: What is the probability that we draw a diamond, given that the card we draw is red?

A: Given that: A deck of cards.

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: Of one card is drawn from a standard deck of cards, what is the probability that the card will be a…

A:

Q: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6?

A: If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6…

Q: With the throw of two dice, what is the probability that the sum will be a prime number?

A:

Q: If a person in this town is selected at random, what is the probability that the individual is…

A: As per Bartleby guidelines, only one is to be answered; please upload the other separately. Given…

Q: A lottery game has balls numbered 1 through 11. If a ball is selected at random, what is the…

A: We have given  A lottery game has balls numbered 1 through 11 n=11  A=even number=(2,4,6,8,10)…

Q: If a ball is selected at random from an urn containing three red balls, two white balls, and five…

A: According to the provided information, there are 3 red balls, 2 white balls, and 5 blue balls

Q: If a person draws four cards from a standard deck (without replacing them), what is the probability…

A:

Q: What is the probability that at least one of the next four cars that enter the lot is a sedan?

A: Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are…

Q: What is the probability that we draw a diamond?

A:

Q: If 12 coins are tossed, what is the probability that six of them will be heads (approximately)?

A: Number of times coin is tossed = 12 Probability of getting head in single toss =0.5 Probability of…

Q: If a single die is rolled four times, what is the probability it lands on 4 on the first, second,…

A:

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.