A dice is rolled 2 times. What is the probability of showing a 6 on every roll?

Q: the average accident on a certain road section is at 2.4 per day. what is the probability that there…

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Q: A die is rolled 12 times. Find the probability of rolling no more than 3 threes

A: From the given information, a die is rolled 12 times.The outcomes for the die are 1, 2, 3, 4, 5 and…

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: 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: A pair of dice is rolled. What is the probability of getting a sum of 8?

A: The sample space for pair of dice is rolled is given below:

Q: A dice is rolled 2 times. What is the probability of showing a 4 on every roll? (Round to 4 decimal…

A: Given that,A dice is rolled 2 times.

Q: A coin is tossed 5 times. What is the probability that a) at most 2 heads will occur? b) At least 2…

A: Given,A coin is tossed 5 times so,sample size (n)=5P=P(getting a head )=12=0.5X=no.of heads will…

Q: A coin is loaded so that the probability of a head occurring on a single toss is 5/6. In three…

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

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Q: A fair die is rolled three times. What is the probability of obtaining at least 2 6's?

A: We know that when we toss a fair coin then the probability that getting any number is 1/6.Total…

Q: ·An unbiased die is thrown 8 times. What is the probability of getting a six in at least one of the…

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Q: The average number of diesel tankers arriving each day at a certain port city is known to be 5. What…

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Q: A fair die is rolled. What is the probability of getting a number that is less than 4 and even?

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Q: An old cannon hits the target with 0.25 probability. What is the probability that it hits the target…

A: Given information- Probability of hitting the target, p = 0.25 = 1/4 Probability of missing the…

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: A fair die is thrown 6 times. Find the probability of rolling a ​"two​" on exactly 4 of the 6…

A: Explained below

Q: A telephone call center receives a call at an average rate of six per hour. What is the probability…

A: Given that a telephone call center receives a call at an average rate of six per hour.  Let X=the…

Q: A dice is rolled 4 times. What is the probability of showing a 2 on every roll?  (Round to 4…

A: The probability of an event is defined as,

Q: A coin is tossed 3 times. What is the probability of getting 3 tails up?

A: Given : Experiment : Tossing coin 3 times

Q: A fair die is rolled three times. What is the probability of obtaining at least two 5​'s?

A: Given a fair die rolled three times.

Q: The probability of oil spills in Lake Maracaibo is 0.01 according to a study. At one particular…

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Q: A pair of dice is rolled. What is the probability of getting a sum less than 7?

A: When a pair of dice are rolled then there are (6x6)=36 cases, because each die has 6 outcomes.  If…

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 dice is rolled 3 times. What is the probability of showing a 5 on every roll? ________ (Round to…

A: When a dice is rolled 3 times then the total no of outcome is 63=216 P(5 on every roll)=?

Q: Let's say that 82% of people have Type O blood.  If 3 randomly selected people donate blood, what is…

A: Givenp=0.82n=3x~Binomial(n=3,p=0.82)P(X=x)=(nx)×px×(1-p)n-x  ; x=0,1,...,n

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: eeded?

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Q: A coin is tossed 5 times. What is the probability that (a) at most 2 heads will occur? (b) At least…

A: Let us denote: X=the number of headsn=sample size=5p=the probability of getting a head=0.5So, X…

Q: A dice is rolled 3 times. What is the probability of showing a 2 on every roll? (Round to 4 decimal…

A: Solution: Suppose a dice is rolled three times. The sample space contains 6*6*6=216 outcomes. That…

Q: On average there are 3 typing errors per page of text. What is the probability that on any given…

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

Q: A dice is rolled 3 times. What is the probability of showing a 4 on every roll? (Round to 4 decimal…

A: A dice is rolled 3 timesTotal number of outcomes = 63 = 216 outcomes

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: A coin was tossed 4 times ,the probability of getting 4 tails :

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Q: In a factory, there were 12 accidents involving machinery in the last six months.  (d) Calculate…

A: Given, In a factory, there were 12 accidents in the last 6 months => 12/6 = 2 accidents per month…

Q: A mortgage advisor sells on average 3.5 mortgages every two weeks. i. What is the probability that…

A: (i) Obtain the probability that they sell 5 mortgages in a two week period. The probability that…

Q: A coin is tossed 5 times. What is the probability that (a) at most 2 heads will occur? (b) at least…

A: Givena coin is tossed 5 times Total no.of possible outomes =25=32sample size(n)=32probability of…

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

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Q: Three six-sided dice are rolled. What is the probability that the sum on the dice faces equals 4?

A: We know that, if we roll a die, we may get {1,2,3,4,5,6} as possible values. So, if we roll 3…

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

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Q: A fair die is rolled four times. What is the probability of obtaining at least three 4​'s?

A: At least three means 3 or 4 Let X= number of times 4 comes n=total number of trials=4 p=probability…

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 fair die is thrown 25 times. What is the probability of getting at least 8 “fives?”

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Q: If you toss a coin 6 times, what is the probability of getting exactly 3 Heads?  (Round to 3 decimal…

A: When a coin is tossed the probability of getting heads is 0.5 p=0.5 Number of times coin is tossed…

Q: Joe tosses a fair three-sided die 4 times.  What is the probability he rolls all threes? If…

A: given data roll a fair three sided die 4 times 3 sided die : ∴P(1)=P(2)=P(3)

Q: Two fair dice are rolled. What is the probability of getting doubles (two dice showing the same…

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Q: When rolling a die 142 times, what is the probability of rolling a 6 greater than 20 times?

A: np = 142/6 = 23.67 >10  n(1-p)  118.33 >10 ============ Normal approximation to binomial dist…

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

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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.