I know if you roll one six sided dice the chances of you get a 6 is about 16.6%. However, what are the chances if you roll two dice of one of those die coming up as 6. To further expand that if you rolled five die what are the chances of just one of those die coming up with a 6. I know the more dice you roll the chances of getting at least one 6 goes up exponentially but I can't figure out the odds
Google - I am trying to work out a dice probability but I am really struggling?
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Added 3+ months ago:
To clarify. If I roll 5 dice...what are the odds of one or more of them rolling a 6 - not for all of them to roll a 6 just one of them.
Answers (1)
One die has six possible positions, so chance is 1 in 6. Probability is 0.1666... or 16.666...%. Odds is what a bookie would pay on a bet. "Die" is the singular and "dice" is the plural.
For each of those positions, a second die can have six positions, so chance is 1 in 36. That is 6 positions x 6 positions.
You simply figure out how many positions are possible and how many of those qualify for your study. If you have dice of 6, 10, and 20 sides, the positions number 6 x 10 x 20 = 1200 and if only even numbers qualify then 600 in 1200. If 5D6 then 6 x 6 x 6 x 6 x 6 = 1 in 7776