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Popular Word Problems >

what is the probability of getting a red king card in a deck of cards

Solution

w ha t i s t h e p ro babi l i t y o f g e tt in g a re d kin g c a r d in a d ec k o f c a r d s

Solution

\frac{1}{26}

+1

Decimal

0.03846 \dots

Solution steps

Find the probability of getting red:

\frac{1}{2}

Find the probability of getting king:

\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}

Popular Examples

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