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16 cards puzzle

soonsnow

New member
Joined
Feb 4, 2017
Messages
1
A1 B1 C1 D1 1.you have the 16 cards (left) and shuffle all of them
A2 B2 C2 D2 2.you draw 2 cards go to step 3 or 4
A3 B3 C3 D3 3.if they are the same in either letter or number put them asside go to step 2
A4 B4 C4 D4 4.if they are not the same in either letter or number go to step 1 and restart
Win.if all 16 cards are set asside

the question is what is the probability of winning
please keep the denominator as 16!

i have tried it using branching probability but it had too many branches





i make puzzles in my free time
 

Harry_the_cat

Full Member
Joined
Mar 16, 2016
Messages
867
What d'heck does that mean?
Can you please explain clearly what you're doing.
Pretty sure soonsnow means this:

A1 B1 C1 D1

A2 B2 C2 D2

A3 B3 C3 D3

A4 B4 C4 D4

1.you have the 16 cards (above) and shuffle all of them
2.you draw 2 cards go to step 3 or 4
3.if they are the same in either letter or number put them asside go to step 2
4.if they are not the same in either letter or number go to step 1 and restart

Win.if all 16 cards are set asside

the question is what is the probability of winning
please keep the denominator as 16!
 
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