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If you roll two fair six-sided dice, what is the probability that the dice show the same number?
Full solution
Q. If you roll two fair six-sided dice, what is the probability that the dice show the same number?
- Calculate Total Outcomes: First, figure out how many total outcomes there are for rolling two dice. Each die has sides, so outcomes per die.Calculate for the total outcomes.
- Find Matching Outcomes: Now, find the number of outcomes where both dice show the same number. There's way for each number to match (-, -, ..., -).Count these outcomes: , , , , , . That's outcomes where both dice match.
- Calculate Probability: To get the probability, divide the number of matching outcomes by the total number of outcomes.Calculate to get the probability.
