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If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

Solution

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

Solution

\frac{3}{4}

Solution steps

Find the probability of drawing a spade:

\frac{1}{4}

Find the probability of a red card:

\frac{1}{2}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= \frac{1}{4} + \frac{1}{2}

\frac{1}{4} + \frac{1}{2} = \frac{3}{4}

= \frac{3}{4}

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