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Tanzania [10]
3 years ago
9

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

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

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

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Answer: 86.6ft closer to the ground.

Step-by-step explanation:

The diameter of the wheel is 200ft

Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.

Initially, the seat is at the same level that the center of the wheel.

And the distance between the center of the wheel and the bottom is the radius.

Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=

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