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Suppose you draw one card from a standard 52-card deck. What is the probability that it is red or a club?

Solution

Suppose you draw one card from a standard 52-card deck. What is the probability that it is red or a club?

Solution

\frac{3}{4}

Solution steps

Find the probability of it is red:

\frac{1}{2}

Find the probability of a club:

\frac{1}{4}

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

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

= \frac{3}{4}

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