The probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648
Number of Aces in deck = 4
The probability that they pick no ace in one trail
= (52 - 4) / 52
= 48 / 52
= 12 / 13
The probability that the picks no ace in 25 trials are
= (12/35)²⁵
The probability of drawing at least one ace when we draw from a standard deck 25 times
= 1 - (12/35)²⁵ = 0.8648
Indeed, it is conceivable you could wind up drawing a king rather than a queen from those 52 cards as you might attract a queen on the first go.
Hence the probability of drawing at least one ace when you draw from a standard deck 25 times is 0.8648.
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