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

Q: What is the probability of drawing a red or blue marble out of a bowl with 10 red, 6 blue, 9 green?

A: Given that,no.of red marbles=10no.of blue marbles=6no.of green marbles=9Total no.of marbles=25

Q: A single fair 4-sided die is rolled . Find the probability of getting a number less than 2

A: Given that a single fair 4-sided die is rolled . Sample space, S = {1, 2, 3, 4

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 that 25 rolls of a fair die will show 4 twos? Please show work.

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

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Q: A die is rolled 8 times. What is the probability of getting at least one 5?

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Q: What is the probability that the number on the first die is smaller than the number on the second…

A: The sample space of two dice are thrown is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2)…

Q: A single, six sided die is rolled. Fine the probability of rolling an even number or a number less…

A: Probability of an event:The formula for probability of an event is as follows.

Q: Dan tosses a fair pyramid die that has four sides 7 times. What is the probability he rolls all…

A: Person D tosses a fair pyramid die that has four sides, 7 times.

Q: An online quiz has 10 True or False questions. What is the probability that a student got exactly…

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Q: fair die is rolled 5 times    16. What is the probability of obtaining a 2 at least once?

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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: When a single die is rolled, what is the probability of getting a number less than 6.

A: If a single die is rolling then sample space (s) is,  s = { 1, 2, 3, 4, 5, 6 } = 6 outcomes Then,…

Q: What is the probability that when a coin is tossed 5 times it lands 3 times heads?

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Q: There is only one checkout line and the average service time is 5 minutes per customer.  There are 3…

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Q: you roll a die with 5 sides what is the probability of rolling a 1 or a 2

A: P(1 or 2)= P(1 U 2)  P(1 U 2)= P(1)+ P(2) - P(1)* P(2)  Die is 5 sided So probability of getting 1…

Q: What is the probability of getting three sixes in five tosses of a die?

A: Let us denote X=the number of sixes n=sample size=5 p=probability of success in each toss=16…

Q: We roll 5 six-sided die. What is the probability of obtaining exactly two 1s?

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Q: A​ single, six-sided die is rolled. Find the probability of rolling an even number or a number less…

A: Given that, A​ single, six-sided die is rolled

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

A: Given : Experiment : Tossing coin 3 times

Q: probability of rolling a multiple of 3 on a 6 sided die given you already rolled an even number on…

A: Given that  Probability of rolling a multiple of 3 on a 6 sided die given you already rolled an even…

Q: A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.

A: Probability is the chance of occurrence of an event. A fair coin is tossed 5 times. For each toss,…

Q: What is the probability of getting at least one 6 on three rolls of a die?

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

Q: A standard die is rolled. What is the probability of rolling a number less than 2?

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Q: A pair of die is rolled. What is the probability that the number 4 appears

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Q: A die is rolled 8 times. What is the probability of getting at least one 5?

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Q: What is the probability that the sum is 2 or at least one die shows a 6 in rolling a pair of dice?

A: When rolling a pair of dice the probability that the sum is 2 is: There is only one case for it to…

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: What is the probability of getting exactly one head when a fair coin is tossed for 3  times?

A: GivenA coin is tossed 3 timesn=3p=12=0.5        ( head occurs once in 2 chances i.e., head or…

Q: Amy tosses a fair seven-sided die 2 times. What is the probability she rolls at least 1 four? If…

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Q: A die is rolled 10 times. What is the probability of getting “a 6 “exactly 5 times?

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Q: What is the probability of getting 6 or more girls in 8 births

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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: when a single die is rolled, what is the probability of gitting a number less than 7?

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Q: Suppose you roll a die 6 times. What is the probability of getting at least one even number

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Q: If you roll 1 six sided die, what is the probability that you roll a number higher than 2? (Express…

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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.