1. ## 16 cards puzzle

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

2. Originally Posted by soonsnow
A1 B1 C1 D1 1.you have the 16 cards (left) and shuffle all of them
What d'heck does that mean?
Can you please explain clearly what you're doing.

3. Originally Posted by Denis
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!