1. ## Basic Statistics Problem

I was sick for the first half of first semester, and I'm doing a two-week intensive catch-up on an introduction to probability and statistics course. However, the textbook is very vague and jumps from very simple probabilities (tree diagrams for simple events) to this question, that I think I know how to compute, but don't know how to write properly in terms of "showing my work."

Rolling 10 six-sided die, what is the probability that exactly 4 will roll a six?

My gut stays that the probability would be [(1/6)^4]x[(5/6)^6], though that doesn't compensate for possible orders.

Where should I start? What are resources online that are likely better than this subpar textbook?

Futant.

2. Originally Posted by Futant
I was sick for the first half of first semester, and I'm doing a two-week intensive catch-up on an introduction to probability and statistics course. However, the textbook is very vague and jumps from very simple probabilities (tree diagrams for simple events) to this question, that I think I know how to compute, but don't know how to write properly in terms of "showing my work."

Rolling 10 six-sided die, what is the probability that exactly 4 will roll a six?

My gut stays that the probability would be [(1/6)^4]x[(5/6)^6], though that doesn't compensate for possible orders.

Where should I start? What are resources online that are likely better than this subpar textbook?

Futant.
Have you covered the binomial distribution?

CB

3. No, we have not. Looking at my text book, that is covered in the next chapter. Should I just do the next chapter first, and come back and look at this problem again?

Thanks!

Futant.

4. Originally Posted by Futant
No, we have not. Looking at my text book, that is covered in the next chapter. Should I just do the next chapter first, and come back and look at this problem again?

Thanks!

Futant.
Number the dice, than the probability P0 that a particular 4 will show a 6 and none of the others is what you posted in your first post.

The probability you seek is P0 times the number of ways that the four dice to show a 6 can be selected from the 10.

CB