What is the probability of rolling a sum of 7 with two fair six-sided dice, and how does this probability change if one of the dice is weighted to favor the number 6? Furthermore, how many rolls would be needed to confidently determine if the weighted die is indeed biased towards 6?

Q: 2. If you roll two dice, what is the probability that the sum of the two numbers is 10?

A: If you roll two dice than the possible total no.of outcomes are  36.

Q: What is the probability that I pulled out the 6 sided die?

A: here given ,  I have a bag with 3 fair dice. One is 4 sided, one is 6 sided, and one is 12 sided. I…

Q: When two balanced dice are rolled,there are 36 possible outcomes.What is the probability that the…

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Q: Suppose you roll three dice. What is the probability that the smallest number seen is five?

A: Solution: From the given information, three dice are rolled.

Q: What is the probability of getting two tail if one dice is tossed?

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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: if two dice are cast, what is the probability that the sum will be less than 5?

A: Two dice are thrown together. Nedd to find the probability that numbers on the two faces sum/add is…

Q: If three balanced dice are rolled, whats the probability that all three dice will be the same?

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Q: In a single throw of two dice, what is the probability of getting the same numbers on both dice?

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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: What is the probability of rolling two standard dice where the first die rolled is a number greater…

A: Given Rolling of two die  Total outcomes when two die are rolled = 36 Multiple of 3 are 3,6,9,12…

Q: What is the probability that a randomly selected student from a university with 60% female and 40%…

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Q: Two 6-sided dice are rolled. What is the probability that both dice come up with odd numbers?

A: Given 2 6- sided dice are rolled

Q: What is the probability of rolling two dice and getting a sum of 7 or 11, if one of the dice is…

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Q: When a pair of dice is​ rolled, what is the probability that the sum of the dice is 8​, given that…

A: A pair of six-sided dice is rolled.There are a total of  possible outcomes, as each die has  faces.

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

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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: Two dice are rolled simultaneously. What is the probability that the two scores are different?

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Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

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Q: What is the probability of having the coin land with heads facing up and rolling a 6 on the dice

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Q: If 15% of students like tennis and I expect 500 new students on campus what is the probability that…

A: Probability that students like tennis, p=15% = 0.15 q=1-p= 1-0.15= 0.85 Sample size n=500…

Q: When rolling two dice, what sum on the dice is most probable?  What is the probability?

A: Sample set for rolling two dice S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)       (2,1) (2,2) (2,3)…

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: What is the probability of obtaining a sum of 10 or higher when rolling two fair six-sided dice, and…

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Q: g a sum that is not a seven nor an 11 with a pair of dice?

A: Given that two dice are rolled,Let 'S' be the sample space S = { (1, 1), (1, 2), (1, 3), (1, 4),…

Q: A pair of dice is thrown, what is the probability of getting a result of prime number?

A: Given Sample space=36

Q: In the experiment of rolling two dice, what is the probability that the difference between the…

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Q: Two six sided dice are rolled at once. What is the probability of rolling a sum of 9

A: Note that the favorable cases to get a sum of 9 are 3,6,6,3,4,5,5,4. Consider the following events,…

Q: Two 6 sided fair dice are thrown. What is the probability of getting two numbers whose product is…

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Q: i roll three ordinary 6 sided dice what is the probability of getting 5 on one of the dice and at…

A: Given, We have rolled 3 fair dices.  The probability of getting 5 on one of the dice and at least…

Q: What is the probability of rolling six dice and getting at least one matched pair?

A: From the provided information, The total outcomes rolling 6 dice = 66 The possible outcome of no…

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

A: Given : Let E be the event of getting an even number on one die and an odd number on the other.Let…

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

A: Further counting arguments can be used to find the number of ways of forming the other sums. The…

Q: When a pair of dice is thrown 20 times, what is the probability of getting doubles at least once?

A: There are 6 sides in a die. So, if a die is thrown then total number of outcomes = 6 So, total…

Q: What is the probability of rolling a sum of 7 or 11 with two fair dice? Show all work.

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Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

Q: If a classroom of 32 students has 7 males (5 of who are single and 2 who are married) and 25 females…

A: Given,no.of single males=5no.of married males=2no.of single females=7no.of married females=18total…

Q: what is the probability of getting a total of 8, 9, or 11 when a pair fair of dice is tossed

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