
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a modified deck of 60 cards, there are 15 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Joker1, Joker2) across 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, $\clubsuit$), with an additional Joker1 and Joker2 included in each of three suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$). There are 20 red cards ($\heartsuit$ and $\diamondsuit$) and 40 cards that are either black or feature a Joker ($\spadesuit$ and $\clubsuit$, plus Jokers are also black). The deck is shuffled randomly. What is the probability that the top card is a red non-joker and the second card is either a black or a joker?

Present the answer in LaTex format: \boxed{Your answer}
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