Given that a biased dice, where each of number 1jand number 3 appears half times as often as any other numbers. All other four outcomes are equally likely. Find the probability that an even number appears when we roll this dice, Show your work.

Q: If six face dice is rolled once, what is the probability of getting less than 3 on it

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Q: If two balanced dice are rolled, what is the probability that the sum of  two numbers that appear…

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Q: If we roll three six-sixed dice, what's the probability that their sum is even?

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Q: Two regular 6-sided dice are tossed, one at a time. Compute the probability that the pips on both…

A: For each die, there are 6 possible outcomes.  So for 2 six-sided dice, there are 62=36 outcomes.…

Q: Suppose you flip two coins. What is the probability of getting at most one heads? Give your answer…

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Q: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of 8?

A: Solution-: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of…

Q: What is the probability of Janice rolling a 2or a 5 on her 7th toss of the die?

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Q: If we roll three six-sixed dice, what's the probability that all three show even number

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Q: If two coins are flipped once, what is the probability that both coins will turn up heads? Assume…

A: From the provided information, Two coins are flipped once. The coins are fair and head or tail is…

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 6-sided die is rolled twice. What is the probability of showing a 1 on the first roll and an even…

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Q: What is the probability of getting the first "three" in the 6' roll?

A: here given, balanced 6 sided die rolled , here use geometric distribution

Q: If two fair dice are thrown, find the probability that the sum is between 6 and 8, inclusive.

A: Total number of possibilities:

Q: A weighted coin with Pr[H]=0.2 is flipped 3 times. What is the probability the first and third flips…

A: Given that, P (H) = 0.2 P (T) = 0.8 N=3

Q: Two regular six sided dice are tossed, one at a time. compute the probability that the pips on both…

A: For each die, there are 6 possible outcomes.  So for 2 six-sided dice, there are 62=36 outcomes.…

Q: If a pair of (fair) dice are thrown, what is the probability that the sum of the numbers shown is…

A: Given data isA pair of dice are thrownthen the out comes…

Q: Using a standard six sided dice, Janice rolled either a 2 or a 5 on the last 6 rolls of the dice.…

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Q: If you have two six-sided die each labelled one throgh six. Which set of independent events has a…

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

Q: Find the probability that either a 6 or 7 will be obtained in one toss of a pair of dice.

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Q: If two pennies are flipped once, what is the probability both pennies will turn up heads? Assume…

A: Given that Two pennies coin are tossed  Coin are fair then probability of head or tail is 0.5

Q: Suppose we toss a biased coin for which a heads is twice as likely as a tails. If the coin is tossed…

A: Let us assume the probability of getting a tail=x So the probability of getting a head=2x Total…

Q: A biased coin, when tossed 7 times, has the same probability of obtaining 2 heads out of 7 as it…

A: Let us suppose that the probability of head = p Define the Random Variable, X : Number of heads in 7…

Q: It is known from the past experience that in a certain plant, there are on an average 4 industrial…

A: Given info: Here, λ = 4.

Q: From a group of graduate students including 21 men and 11 women, 26 are chosen to participate in an…

A: Given Information: Number of men = 21 Number of women = 11  Total  = 21 +11 =32

Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given data: The expression for the probability of rolling a two, four, or six is equally likely…

Q: Suppose that we roll two dice, what is the probability of getting a sum of 6 or 8?

A: In rolling two dice, the possible outcomes are…

Q: According to a survey, 68% of the Alabama households own a pet. Suppose we select 12 households at…

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Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

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Q: A weighted coin with Pr[H]= 0.3 is flipped 3 times. What is the probability the first and third…

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Q: Suppose that a person rolls two balanced dice three times in succession. Determine the probability…

A: Here Given two balanced die are rolled  so Probability of each outcome is  same And each is rolled…

Q: If a pair of dice is tossed 6 times, what is the probability of obtaining of 7 or 11 twice, a…

A: Here, a pair of dice is tossed 6 times. The total number of possible outcomes is 36. The total of 7…

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: If 2 random students were selected (with replacement), what is the probability that both have the…

A: The total number of students is 476. The number of students who plans for job, travel, and volunteer…

Q: If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up…

A: Given: A fair 6 sided dice which is rolled 9 times. Probability=Number of favourable outcomesTotal…

Q: When a single die is tossed, what is the probability of getting a number that is a multiple of 2?

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Q: If two fair dice are rolled, find the probability of the following result. A double, given that the…

A: General formula of probability is , Probability =Number of favorable outcomes Total outcomes

Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given information- We have given a six-sided die. We have given that rolling a two, four or six is…

Q: If a biased coin has a probability of heads that is twice the probability of tails and is flipped…

A: For a biased coin, Consider the probability of occurring tails = x The probability of heads is twice…

Q: A friend flips a coin 20 times and says that the probability of getting a head is 40% because he got…

A: A coin is flipped 20 times and has been observed that the probability of getting a head is 40%…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner, suppose…

A: Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Q: Suppose a balanced six-sided die is rolled. i. What is the probability of getting the first "three"…

A: For geometric distribution, there are four requirements need to be fulfilled. These requirements are…

Q: If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of getting…

A: We have to find given probability....

Q: A fair six sided die is rolled six times. What is the probability that the die will show either a 1…

A: fair dice has 6 faces with equal probability of each face to shown when tossed.

Q: suppose you roll a pair of fair 6 sided dices what is the probability that one of the rolls is an…

A: If two 6 sided dice are rolled then sample space is given by-…

Q: A pair of fair 6-sided dice is rolled. What is the probability that a 2 is rolled if it is known…

A: When we rolled two dice then the possible outcome or sample space is,{(1,1), (1,2), (1,3), (1,4),…

Q: A weighted coin with Pr[H]=0.4 is flipped 3 times. What is the probability the first and third flips…

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Q: If two dices are rolled, what is the probability that the sum of the up-turned faces will equal 7?

A: In this case, the sample space when two dices are rolled is shown below:

Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

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Q: Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: According to the provided information, roll the dice repeatedly, and keep flipping it until observe…