Question

What is the probability of spinning a spinner three times and having all three spins be greaterthan 5 if the numbers are listed 1-8?A. 5.3%B. 1.6%C. 4.8%D. 12.5%

Answer 1

Each spinner can lands on any value from 1 to 8 with the same probability. Notice that the result of one spinner does not affect the outcome from the other 2 spinners, they are independent.

If we consider all the possible combinations of spinning the three spinners we get:

`8\cdot8\cdot8=512`

512 possible outcomes of the experiment, all equally probable.

Now, we need all the three spinners to land on 6, 7, or 8. The total number of outcomes that satisfy this condition is:

`(8-5)\cdot(8-5)(8-5)=27`

Then, the probability we are looking for is:

`P(X>5)=(27)/(512)\approx0.05`

The exact answer is 27/512, approx 0.05