How many different possible outcomes are there if you roll two fair six-sided dice in the shape of a cube?

a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice sum to 11 or 8. How much should you win or lose if any other number turns up in order for the game to be fair?

You are going to roll three standard six sided dice. The dice are distinguishable: one is red, and other is blue, and the third is yellow. How many different roles are there?

3 coins are tossed and two six-sided dice are rolled. how many possible outcomes are there?​

A child rolls 7 standard dice of different colors and records the numbers showing. Find the number of different outcomes

Emma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain.(Hint: There are 21 total possibilities when rolling a pair of dice.) a No, it is not fair because there is a higher probability of rolling 2, 3, 11, or 12, so Eddie will most likely choose dinner. b Yes, it is fair because both Emma and Eddie have an equal probability of choosing dinner. c No, it is not fair because there is a higher probability of rolling 4 or 10, so Emma will most likely choose dinner. d No, it is not fair because there is a greater probability that they will roll a number other than 4, 10, 2, 3, 11, or 12.

If we roll a 6-sided dice, what is the probability of rolling a number less than 3?  Leave your answer in simplest fraction form.

A roulette wheel has 38 numbers, with 18 odd numbers (black) and 18 even numbers(red), as well as 0 and 00 (which are green). You bet 5 dollars that the outcome is anodd number. If you win you get 10 dollars; otherwise you lose your 5 dollars. Note:assume the 0 and 00 numbers are considered even numbers What is your expected winnings? Which of these options is best: bet on an odd number or don’t bet? Why?