Question

You roll a fair six-sided die twice. Find the probability of rolling a 2 the first time and a number greater than 4 the second time.

Answer 1

1/18

Explanation:

So to find the probability of two independent events, you simply multiply the two probabilities. So the probability of rolling any individual number is 1/6 because there's 6 possibilities, and there are no duplicate numbers. So the probability of rolling a 2 the first time is 1/6. The probability of rolling a number greater than 4 has a probability of 2/6, since the numbers 5 and 6 are both greater than 4. This can be further simplified to 1/3. Multiplying these two probabilities gives you 1/18