What is the statistical likelihood of selecting two club suits from a standard thoroughly shuffled 52-card deck?
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Answer: B. 1/17
Explanation
The probability of drawing the first club suit from a standard deck is thirteen over fifty two. The probability of drawing a second club from the remaining cards is twelve over fifty one. Multiplying these two independent probabilities together simplifies fractionally to the value one seventeenth. A standard deck of cards contains fifty two total cards divided evenly into four suits. Each suit contains exactly thirteen distinct cards ranging from ace up to the king. Dependent probability calculations reduce the available deck count for each subsequent successful draw.
Probability calculations are fundamental for evaluating risk in card games and statistical modeling. Casino regulators use combinatorics to ensure fair odds across various table gaming formats. Data scientists apply conditional probability models to analyze complex sequential events in datasets. Option A represents an incorrect fraction resulting from improper reduction of the drawn card numbers. Option C underestimates the probability by omitting the sequential dependent draw adjustments. Option D incorrectly assumes a much higher likelihood than mathematically possible for two cards.
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- Mathematics
- Category
- Mathematics
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- medium
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