Posted by **Neid** on Tuesday, April 29, 2014 at 8:19pm.

Mack rolls a 15-sided cube 45 times, what would you predict the probability to be of Mack's rolling a number less than 5?

- Math -
**Damon**, Tuesday, April 29, 2014 at 8:29pm
The concept of a 15 sided cube startles me.

Did you make this question up yourself?

- Math -
**Neid**, Tuesday, April 29, 2014 at 8:38pm
No, it's a question on a 7th grade Skills Review

- To Damon -
**Steve**, Tuesday, April 29, 2014 at 8:39pm
You are right; there's no way a 15-sided die could be fair. Even if the area of each face is the same, the angles cannot all be equal, since there is no regular 15-hedron.

- Math -
**Damon**, Tuesday, April 29, 2014 at 8:52pm
Perhaps they want us to assume it is possible.

4 out of the 15 sides are less than 5

so

about 4/15 in each roll

so in each roll the probability of NOT getting less than 5 is 11/15

so the probability of NEVER getting less than 5 is (11/15)^45

so our answer is

1 - (11/15)^45

which is about

1 - 8.7^-7

which is so close to one that you can count on it :)

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