Question

Let say A has 3 dice and B has 2 dice

each of them them roll their dice and the one that gets the highest score on one dice wins.
for example: A gets 1, 2, 3 and B gets 2, 6, 1
In this case, B wins because she/he got 6 which is the highest number.

If both A and B get the same highest number then both of them win. What's a formula I can make to calculate A or B's probability?

Answer 1

If A had 2 and B had 1 dice
then the formula would be sigma k= 6, n=1 (1- n/6) times 1/6
I don't know how to write the formula for 3 and 2 dice though :(

Answer 2

how many times do they roll dice??

Answer 3

each dice once

Answer 4

it doesn't have to be 2 and 3 dice, it can be 2 and 2 dice I just need the general formula

Answer 5

I think it's a dependent probility ...

Answer 6

I don't think that's it. I'm not looking for common overlap I'm looking for individual probability.

Answer 7

if it is not dependent probability then they both must have equal chances ... since the total probability must be one and there is only two of them!!

Answer 8

wait what? There may be two people but they have different amounts of dice. Person A rolls the dice 2 times while person B trolls the dice 3 times. The one with the highest score wins. Obviously, person B will have a higher probability. I don't know how to find the formula that proves that however.

Answer 9

Oh ... i thought ...they both were going to roll equal number of times!!

Answer 10

with 3 dice

1/6 * 3 to get 6

with 2 dice

1/6 * 2 to get 6