Seven fair dice are tossed independently. Find the probability that the number of 1's minus the number of 4's will be three.

Thoughts?

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- October 16th 2013, 06:02 PMvidomagruFair Dice Tossed Independently
Seven fair dice are tossed independently. Find the probability that the number of 1's minus the number of 4's will be three.

Thoughts? - October 16th 2013, 06:27 PMSlipEternalRe: Fair Dice Tossed Independently
What are all of the possible outcomes that satisfy that condition?

# of 1's # of 4's # of (not 1's, not 4's) 3 0 4 4 1 2 5 2 0

Those are the only outcomes that you care about. So, what are the probabilities of each?

I will help you out for the first case, see if you can figure out the other two. The probability that three out of the seven dice will roll a 1 and the other four will roll neither a 1 nor a 4: - October 16th 2013, 06:50 PMvidomagruRe: Fair Dice Tossed Independently
- October 16th 2013, 06:53 PMSlipEternalRe: Fair Dice Tossed Independently