Question

You roll a 6 sided die 2 times what is the probability of rolling a 6 and then rolling a number greater than 2

Answer 1

Answer:

1/9 probability of rolling a 6 and then a number greater than 2

Step-by-step explanation:

1. Rolling a six on the first go is 1/6 chance

2. Rolling a number greater than 2, for example 4, is also 1/6 chance

3. So we know that at first, there is a 1/6 chance of rolling a 6, now when the die is rolled again, there needs to be a 3, 4, 5 or 6, each of these has a 1/6 chance again

4. So the chance of rolling a 6 and then a 3 is solved by finding the chance of rolling 6, then multiplying that by the chance of rolling a 3 afterwards

5. We get an equation of 1/6 x 1/6 which = 1/36

6. We apply this to the rest of the possible combinations, 6 and then 4 which is 1/36,  6 and then 5 etc.

7. Once we find all possible combinations, we add them up, this means that 6 then 3 = 1/36, 6 then 4 = 1/36, 6 then 5 = 1/36 and 6 then 6 = 1/36 is added so we get 1/36 + 1/36 + 1/36 + 1/36 = 4/36

8. We simplify this to get 1/9