What are the odds in favor of randomly selecting a black face card from a standard deck of cards?

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What are the odds in favor of randomly selecting a black face card from a standard deck of cards?

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Answer 1 · 2018-06-14T19:46:29

$\frac{3}{26}$ $3/26$

Explanation:

$probability is calculated as$ $"probability is calculated as"$

$∙ x \frac{number of favourable outcomes}{total possible outcomes}$ $•color(white)(x)"number of favourable outcomes"/"total possible outcomes"$

$favourable outcome is a black face card$ $"favourable outcome is a black face card"$
$of which there are 6, 3 spades, 3 clubs$ $"of which there are 6, 3 spades, 3 clubs"$

$total possible outcomes = 52 \leftarrow standard deck$ $"total possible outcomes "=52larr"standard deck"$

$P (black face card) = \frac{6}{52} = \frac{3}{26}$ $P("black face card ")=6/52=3/26$

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What are the odds in favor of randomly selecting a black face card from a standard deck of cards?

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