Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F be the event of rolling a four or a five. You are interested in how many times you need to roll the die in order to obtain the first four or five as the outcome. • p = probability of success (event F occurs) • q = probability of failure (event F does not occur)   A) Find P and F B) Find the probability that the first occurrence of event F (r

Q: f you roll a six-sided die what is the probability of rolling a 1,2,3,4 or 6

A: The total number of outcomes in a six-sided die is 6.

Q: Two dice are rolled four times. Calculate the probability of doubles four times in a row?

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Q: If two dice are thrown together, the probability of getting an even number on one die and an odd…

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Q: A single die is rolled twice. Fine the probability of rolling an odd number the first time and a…

A: The probability of an event A is: PA=Number of favourable outcomestotal number of outcomes Now, we…

Q: Suppose the experiment of rolling a die. Find the probability of rolling the fifth number 1 before…

A: Given that, we should get the fifth number 1 before the ninth roll. This means we should get 5…

Q: Two standard dice are rolled. Find the probability that the numbers rolled equal 6.

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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: How does the probability of an event can be determined?

A: The term probability is used widely (usually in statistics theory) as it gives the estimate of the…

Q: The probability that event A occurs is 1/5, the probability that event B occurs is  3/4 and the…

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Q: If two dice are thrown, what is he probability that the number on the first die is less than the…

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Q: Suppose you roll two fair dice, one that is red and other is blue. Each die can have numbers from 1…

A: The total number of possible outcomes for rolling two fair dice is 36. The possible outcomes for…

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: A die is rolled 9 times. Find the probability of rolling no more than 3 fives. The probability of…

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Q: Suppose you roll a die 5 times. What is the probability of getting at least one even number? The…

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Q: Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find the…

A: When two dice is thrown simultaneously, there are 36 outcomes .

Q: A coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

Q: A standard die is rolled. Find the probability that the number rolled is less than 7

A: Given : A standard die is rolled.

Q: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: Two dice are rolled. The sum of the dice is a 2 or 3. Compute the probability of the compound event…

A: We have given that,  Tw dice are rolled the the sample space (s) is,  s = {(1,1), (1,2),…

Q: A game is played by rolling the two dice, three times (toss the two dice three times). What is the…

A: It is given that there are two dice that are thrown three times. Consider that D1 and D2 are defined…

Q: If two dice are rolled, find the probability that neither die shows a 5 on it. Probability

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Q: What is the probability that a single die shows a 1 or a 6 in a single roll? Show your complete…

A: The possible outcomes when rolling a die is {1,2,3,4,5,6}.

Q: Find out the probability of getting a total of either 7 or 11 in a single roll of two dice?

A: Ans#- Given, Roll a dice twice then sample space                                           S   =…

Q: you roll a die 150 times what is the probability you roll a 6 exactly 30 times

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Q: An insurance company offers a $50,000 life insurance policy to people age 30 for $200. The offer the…

A: The question is about is expected value Given : Amount of insurance policy = $50,000 Amount to pay…

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

A: Given: A die is rolled twice.  Sample space = S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1),…

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.