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To solve the problem of finding the probability that the second card drawn from a well-shuffled deck is not an Ace, we need to consider the possible scenarios and use basic probability principles.
First Card is an Ace:
First Card is not an Ace:
The total probability that the second card is not an Ace is the sum of probabilities of the two scenarios:
P(2nd not Ace)=P(1st Ace, 2nd not Ace)+P(1st not Ace, 2nd not Ace)
Substituting the values:
P(2nd not Ace)=(524×5148)+(5248×5147)
Calculating each term:
Adding these probabilities:
P(2nd not Ace)=0.07239+0.85067=0.92306
The probability that the second card drawn is not an Ace is approximately 92.31%. This solution demonstrates that despite the first card drawn, the likelihood of the second card not being an Ace remains quite high.