You roll two fair six-sided dice (with sides numbered 1 to 6) separately. die 1 / die 2 1 2 3 4 5 6 1 (1, 1) 2,1 3,1 4,1 5,1 6,1 2 1,2 2,2 3,2 4,2 5,2 6,2 3 1,3 2,3 3,3 4,3 5,3 6,3 4 1,4 2,4 3,4 4,4 5,4 6,4 5 1,5 2,5 3,5 4,5 5,5 6,5 6 1,6 2,6 3,6 4,6 5,6 (6, 6) Let A be the event that either a two or five is rolled first, followed by an even number. Find P(A). Let B be the event that the sum of the two rolls is at most five. Find P(B). In words, explain what “P(A|B)” represents. Find P(A|B). In words, explain what “P(B|A)” represents. Find P(B|A)

Q: If two fair dice are thrown, what are the odds of obtaining a sum of 10?

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Q: (a) Write down a probability model for this experiment. That means write down all the possible…

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Q: If you roll two dice 20 times, how often should you get an odd number with the first and an even…

A: total outcomes =36

Q: What if you have a six sided die and a spinner with five spaces.  How many possible outcomes are…

A: We have a six sided die and spinner with five spaces

Q: If two dice are​ rolled, how many ways are the two numbers​ different?

A: Answer :- We know that dice has 6 number from 1 to 6  Two dice are rolled , then total outcomes =…

Q: you roll two fair dice. How many ways are there for the sum of the dice to be less than 6?

A: On rolling two dice, let X be the sum of the outcomes. The all possible values of X is…

Q: if a pair of dice is rolled what are the odds in favor of getting a sum of 6

A: Given information- We have given a pair of dice. We have to find the odds in favor of getting a sum…

Q: For a 13 sided dice the probablity of rolling 5 is. Write the answers upto 2 decimal.

A: From the given information, number of sides that the given dice consists n(S) = 13. The points on…

Q: A spinner wheel with 3 color choices (red, blue, and yellow) is spun and a​ 4-sided die is rolled.…

A: Given Information: Spinner wheel with 3 color choices along with a 4 sided die is rolled

Q: As you entered a casino, an oversized gold bowl containing four dice is presented to you. Pick one…

A: The term probability is defined as the chance of occurrence of an event. The probability value…

Q: Two 6 sliced dice are thrown. Determine the number of ways that a score of either 3 or 4 can be…

A: There are 6 x 6 =36 total number of outcomes in rolling a two 6 sided dice.The sample space for…

Q: A jar on your desk contains twelve black, seven red, nine yellow, and four green jellybeans. You…

A: The odds in favour of event A is P(A)/(1 - P(A)).

Q: The game board for the television show Jeopardy is divided into 4 categories with each category…

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Q: Three different colored, eight-sided dice are rolled, and the numbers showing are recorded. How many…

A: There are three different colored dice The dice are eight-sided. The outcomes of the eight-sided die…

Q: What are the odds of rolling a dice with a number less than 3?

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Q: When two balanced dice are rolled, there are 36 possible outcomes.   Find the number of the sum is a…

A: The maximum sum= 12 for (6,6) And the minimum sum=2 for (1,1) So, in 2 to 12 the multiple of 3 are…

Q: indistinguishable

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Q: Two dice are thrown together. What are the chances of: a Number of dice 3 or 6, and The first die…

A: When two dice are thrown there are 36 possible cases A number 3 occurs as{…

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A: Given Information: Consider X, Y and Z are jointly distributed random variables. Consider the…

Q: Role-playing games like Dungeons & Dragons use many different types of dice. Suppose that a…

A: Given data A four sided die has faces marked 1,2,3 and 4 The intelligence of a character is…

Q: How much should you win or lose if any other number turns up in order for the game to be​ fair?

A: Here two dice are rolled  So Total possible outcomes  6× 6 = 36

Q: A different number on each die can be obtained in different ways.

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Q: Now suppose we only care about sum of the dice. What are the different outcomes and their…

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