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dice probability

jacks

Well-known member
Apr 5, 2012
226
A Dice is Rolled $5$ times. The Probability of Getting a higher number then the previous number each time is
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,492
It's easy to explicitly enumerate all increasing sequences of 5 numbers from {1, ..., 6}.
 

CaptainBlack

Well-known member
Jan 26, 2012
890
A Dice is Rolled $5$ times. The Probability of Getting a higher number then the previous number each time is
Because the sequences are increasing all the die rolls are different, as there are only 6 possible outcomes all but one of the outcomes must be present in such a sequence and there is only one order that these can be in, so there are exactly \(6\) increasing sequences of 5 die roll outcomes from a total of \(6^5\) possible sequences of 5 die roll outcomes...

CB