Question

during the play of a card game, you have seen 25 of the 52 cards in the deck and none of them is the 8 of spades. you need the 8 of spades to win the game. what is the probability that you will win the game on the next card drawn?
what is a standard deck of 52 cards?
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Explanation:

Step1: Determine remaining cards

Total cards: 52, seen cards: 25. So remaining cards: \( 52 - 25 = 27 \).

Step2: Determine remaining target cards

Only 1 eight of spades. Since none seen, remaining target: 1.

Step3: Calculate probability

Probability = favorable / remaining = \( \frac{1}{27} \).

Answer:

\(\frac{1}{27}\)