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one card is drawn from a well shuffled deck of 52 cards.what is the probability of a red 10

Solución

one card is drawn from a well shuffled deck of 52 cards.what is the probability of a red 10

Solución

\frac{1}{26}

Pasos de solución

Find the probability of getting red:

\frac{1}{2}

Find the probability of getting 10:

\frac{1}{13}

Since the events are independent, Use the formula

P (X_{1} \land X_{2} \land \dots \land X_{k}) = P (X_{1}) \cdot P (X_{2}) \cdot \dots \cdot P (X_{k})

= \frac{1}{2} \cdot \frac{1}{13}

\frac{1}{2} \cdot \frac{1}{13} = \frac{1}{26}

= \frac{1}{26}

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