Vi sidder i en hytte i Norge, og spiller terningespillet "Cameron" med 6 terninger.
Det giver 2000 point at slå "Cameron" i et slag - Cameron er 1,2,3 4 5 6
Hvad er sandsynligheden for at slå 1, 2, 3, 4, 5, 6 i ét eneste slag med alle 6 terninger?
Er det 6x5x4x3x2x1 eller 6×6×6×6×6×6?
Måske noget helt andet...
5/6 * 4/6 * 3/6 * 2/6 * 1/6
Onkel Google govet følgende svar:
When you throw six 6 dice at once there are 6 to the power of 6 (6*6*6*6*6*6) i.e., 46,656 possibilities.
Out of which you expect 1 2 3 4 5 6. So first dice has 6 choices (say it turns out to be 3). Then the second dice has only 5 choices out of remaining numbers ( i.e., out of 1 2 4 5 6 say second turned to be 5). Then the third dice has only 4 choices (out of 1 2 4 6 say 6). Then in this process the fourth has 3 choices, the fifth has 2 choices and last die will have only one choice which is not present on previous five.
So your criteria is possible on 6*5*4*3*2*1 = 720 possibilities. Hence probability is 720/46,656
= 10/648 = 0.01543
Det er underordnet hvordan første terning lander, derefter som BK skriver med de fem resterende, eller du kan gange med 6/6 for den første terning.
