Probcapability p(exact same challenge pops up is)= $1- P$. You roll initially one and also record what you get. The probcapacity of following (2) 2 rolls give you very same face is...? My opportunities of rolling any kind of provided challenge is $1/6$. It does not issue what you obtain first function the following two rows need to the very same as the initially one duty. Therefore$= (1-(1/6)^2)= 1-(1/6^2)=1-(1/36)$

You’re ideal that the initially roll have the right to be anything and that the probcapacity of acquiring somepoint various on the second roll is $1-frac16=frac56$. However before, the 3rd roll hregarding differ from

**both**of the initially 2 in order for you to get three various numbers, and that happens via probcapability $frac46=frac23$. Moreover, you should multiply the probabilities, so that also if the correct probcapability for the 3rd roll were $1-frac16$, your answer would certainly be $left(1-frac16 ight)^2=left(frac56 ight)^2$, not $1-left(frac16 ight)^2$.

You are watching: Three dice are tossed. what is the probability that the numbers shown will all be different?

Thus, the actual probcapability of acquiring 3 various numbers is $$frac56cdotfrac23=frac59;.$$

Record the throws as explained in the write-up. There are $6^3$

**equally likely**possibilities.

Call a document **good** if it has actually $3$ different entries. We count the variety of great documents. The initially entry have the right to have any type of of $6$ worths. For each such value, the second entry have the right to have any kind of of $5$ values. And for every choice of the initially $2$, tright here are $4$ choices for the third, for a total of $(6)(5)(4)$. Thus our probcapacity is$$dfrac(6)(5)(4)6^3.$$

Thanks for contributing an answer to steustatiushistory.orgematics Stack Exchange!

Please be sure to*answer the question*. Provide details and share your research!

But *avoid* …

Use steustatiushistory.orgJax to format equations. steustatiushistory.orgJax recommendation.

See more: Chem Is The Source Of Light From Flame Tests The Same As That From Neon Signs

To learn even more, see our tips on creating great answers.

Post Your Answer Discard

By clicking “Article Your Answer”, you agree to our regards to service, privacy policy and also cookie plan

## Not the answer you're looking for? Browse various other inquiries tagged probcapacity or ask your very own question.

Mark a six-sided die via the results of 6 rolls of a previous die. How many type of iterations till all the deals with match?

site design / logo design © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. rev2021.9.2.40142

Your privacy

By clicking “Accept all cookies”, you agree Stack Exadjust have the right to keep cookies on your tool and discshed information in accordance through our Cookie Policy.