Answer :
The odds in favor of his character unlocking the treasure chest are once in 1.5 times.
To find the odds in favor of Trey's character unlocking the treasure chest, we need to use the following formula:
Odds in favor = probability of success / probability of failure
In this case, the probability of success is p (the chance of his character unlocking the chest) and the probability of failure is 1-p (the chance of his character NOT unlocking the chest).
So, the odds in favor of Trey's character unlocking the treasure chest are:
Odds in favor = p / (1-p)
For example, if the probability of Trey's character unlocking the chest is 0.6 (or 60%), then the odds in favor of unlocking the chest are:
Odds in favor = 0.6 / (1 - 0.6) = 0.6 / 0.4 = 1.5
This means that for every 1.5 times Trey's character attempts to unlock the chest, he will likely succeed once.
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