What is the probability that atleast one die shows the number 1?

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5?

A: In rolling a 6-sided die, the possible outcomes are {1,2,3,4,5,6}

Q: What is the daily probability of an event that has occurred once in 3 years?

A: Given: An event that has occurred once in 3 years. The probability of the event occurring in a…

Q: A six sided die rolled 12 times. What is the probability of getting a 4 five times.

A: We have given that,  X be the random variable from binomial distribution with trail n = 12 and…

Q: A fair die is rolled 12 times. What is the probability of rolling a 4 on the die 4 times?

A: A binomial probability distribution has following properties. There are only 2 possible outcomes of…

Q: What is the probability of rolling a one or a six when rolling one die?

A:

Q: What is the probability that 6 rolls of a fair die will show 4 exactly 2 times

A: Let us consider success as the die showing up 4. Then, p=p(Success)=16. Let X be the number of times…

Q: what is the probability that his team will win th

A: Since , we have that the probability of making a field goal over a 40 yards is 77%. Also , the field…

Q: The die is constructed so that even numbers are twice as likely to occur as the odd number. This die…

A: Probability is simply defined as the ratio of favorable outcomes (s) to the total number of possible…

Q: A die is rolled 3 times. What is the probability of showing a(n) 5 on every roll?

A: We have given that a die is rolled 3 times. We have to find the probability of showing 5 on every…

Q: Calculate the probability of rolling a 3 or an even number on a die.

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number…

A: When a die is thrown once then the possible number of outcomes= 6 So when it is thrown twice then…

Q: A fair, six-sided die is rolled 5 times. What is the probability of rolling a 3 on just one of the…

A:

Q: A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of…

A: Let us assume P(3)=x The probability of getting 3,4,5,6 are same So, P(4)=P(5)=P(6)=x   given that…

Q: A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number…

A: Consider that die is rolled twice. The sample space of die is rolled twice is, The total number of…

Q: What is the probability of obtaining an even number when a die is rolled?

A: Given that : A die has 6 possible numbers that comes.  S= { 1,2,3 4,5,6 }  We get a even number i. e…

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A: Sample space for a die rolled twice is given by,…

Q: A die is rolled five times and the number of fours that come up is tallied. find the probability of…

A: Let X= number of times four comes This is a binomial distribution because it has two outcomes…

Q: If a fair die is rolled 6 times, what is the probability, rounded to the nearest thousandth, of…

A: The number of outcomes when rolling a die is 6.

Q: A single coin is tossed. What is the probability of tossing a head?

A: When a single coin is tossed then the possible outcomes are head and tail So total 2 outcomes And…

Q: A fair die is rolled six times. What is the probability that it comes up 2 at least once

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

Q: If you roll a fair 8-sided die 11 times, what is the probability that a 1 is rolled at least once?

A: Total number of outcomes for rolling 8 side die 11 times = 811 To determine the probability that 1…

Q: What is the probability that the fourth occurrence of a 10-year flood will be on the fortieth year?

A:

Q: A computer shop has noted that they have an average of 8 customers per hour. What is the probability…

A: Given information Average of 8 customers per hour No of customer in two hour is given by

Q: • What is the probability that a computer part lasts more than 7 years? • What is the probability…

A: The random variable X is defined as the length of time the computer part lasts which follows…

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: Suppose you roll a special &8-sided die. What is the probability that the number rolled is a "1" OR…

A: The outcomes for the 8-sided die are (1 2, 3, 4, 5, 6, 7, 8)   That is, the total number of outcomes…

Q: A certain airport receives on an average of 4 aircrafts per hour. What is the probability that no…

A:

Q: What is the probability that a SSRW on Z starting at 5 hits 2 before it hits 10?

A:

Q: What is the probability of getting at least 4 in one roll of a die?

A: Sample space for rolling a die is S = {1, 2,3,4,5,6}

Q: Assume that there is a 6% rate of disk drive failure in a year. If all your computer data is stored…

A: There was 6% rate of disk drive failure in a year. This means that 94% rate of disk drive does not…

Q: Suppose a rare infectious disease occurs at the rate of 2 per 106 people per year. (a)  What is…

A: It is given that the population in New York City is 8 x 106 and the probability of disease occur is…

Q: An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the…

A: (a). Calculate the probability of finding a batch of 100 invoices without error: Here, it is given…

Q: What is the probability that if 15 letters are typed, no letters are repeated?

A: From the provided information, 15 letters are typed. Total letters in alphabet = 26

Q: In a certain country, there is a bank failure once every 2 years, on average. What is the…

A: The number of failures is once every 2 years. Probability of failure per year is p=12. The number of…

Q: A die is rolled twice. What is the probability of getting 3 or 5?

A: From the given information, a dice rolled twice.   The total sample space is,

Q: A six-sided die is rolled twelve times. What is the probability that the die will show an even…

A: Let p be the probability of getting an even number. Then p = 3/6 = 0.5 Let X denote the number of…

Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on…

A: Rolling a pair of dices gives a total of 36 outcomes. The sample space, when we roll two dice is…

Q: What is the probability that at least 60 years old but less than 70 years old senior citizen will…

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Q: a 6-sided die is rolled. what is the probability that a 3 or 5 is rolled?

A:

Q: A six-sided die is rolled 5 times, what is the probability of rolling 4 less than 3

A:

Q: A six-sided die is rolled 5 times. What is the probability that 6 dots will appear 4 times?

A: The sample space to roll six-sided die are S = { 1, 2, 3, 4, 5, 6 }. P(6) = 1/6 = p, n = 5 These are…

Q: A six-sided die is rolled. If the number of dots that comes up is odd. What is the probability that…

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Q: I roll an ordinary, six-sided die eight times in a row, what is the probability that at least six of…

A: It is given that a six-sided die eight times in rolled. Hence, the probability of getting the value…

Q: A standard six-sided die is rolled. What is the probability of rolling a number equal to 5?

A: Probability:   The ratio of the number of favorable outcomes to certain event and total number of…

Q: A die is rolled twice. What is the probability of showing an odd number on the first roll and a…

A:

Q: What is the probability that the second head is observed on the 5th independent flip of a coin?

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.