What is the likelihood of rolling a six-sided die five times and getting at least one six? Can this probability be increased by rolling the die more times or by using multiple dice? How can the concept of conditional probability be applied to calculate the probability of getting a certain sequence of numbers on the dice?

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: How do you find the correct probability for something such as finding a green bead among red beads…

A: The question is regarding selecting a green bead from a collection which consists of beads of two…

Q: What is the probability of obtaining two heads in a row when flipping a​ coin? Interpret this…

A: Introduction The probability shows how likely an event will occur.

Q: Jameson is really bored. He is rolling a pair of a fair six-sided die. Hw will keep rolling the dice…

A: Let us denote X to be the number of rolls that J does with a pair of die, now, we know that each…

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 you throw a single die twice, what's the probability of first getting a 3 and then getting…

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Q: A fair 6-sided die is rolled three times. What is the probability that the sequence of rolls is 6,…

A: The fair 6-sided die is rolled three times.

Q: A fair 6-sided die is rolled three times. What is the probability that the sequence of rolls is 5,…

A: A fair 6-sided die is rolled three timesthen the sample space (s)=63 =216

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 new board game uses a twelve-sided die. Suppose the die is rolled once, what is the probability of…

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Q: An experiment consists of rolling a pair of die and noting the sum of numbers. What is the…

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Q: Two fair six-sided dice are rolled. Find the probability of the event that one die is a five.

A: When a die is rolled then there are 6 outcomes.When two dice are rolled then there are 62=36…

Q: A pair of fair dice is rolled. What is the probability that the number landing uppermost on the…

A: We find the outcomes for sum=7 of the numbers landing uppermost (1,6) , (2,5) , (3,4) , (4,3) ,…

Q: Two distinguishable (for example, one blue one green) six-sided dice are rolled. Find the…

A: The points where it is possible are (1,3),(3,1),(2,2). The total number of possiblities are 36.

Q: What is the probability of flipping a coin and landing on tails four times in a row? Which law of…

A: When we flip the coin there is always a probability of getting head or tail is 50% i.e. 0.50 =1/2 To…