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Example: A card is drawn at random from a standard deck of 52 cards What is the probability of drawing an ace, a 10, or a King?"

Solución

Example: A card is drawn at random from a standard deck of 52 cards What is the probability of drawing an ace, a 10, or a King?"

Solución

\frac{3}{13}

Pasos de solución

Find the probability of drawing an ace:

\frac{1}{13}

Find the probability of a 10:

\frac{1}{13}

Find the probability of a king:

\frac{1}{13}

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}{13} + \frac{1}{13} + \frac{1}{13}

\frac{1}{13} + \frac{1}{13} + \frac{1}{13} = \frac{3}{13}

= \frac{3}{13}

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