If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6?
Question
If a fair, six-sided die is rolled twice, what is the probability it will land on 1 and then 6?
Solution
Step 1: Understand the problem We are rolling a fair six-sided die twice. We want to find the probability that the first roll is a 1 and the second roll is a 6.
Step 2: Determine the total number of outcomes When rolling a six-sided die, there are 6 possible outcomes. Since we are rolling the die twice, the total number of outcomes is 6 * 6 = 36.
Step 3: Determine the favorable outcomes We are looking for the outcome where the first roll is a 1 and the second roll is a 6. There is only one such outcome.
Step 4: Calculate the probability The probability of an event is the number of favorable outcomes divided by the total number of outcomes. In this case, the probability is 1/36.
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