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Popular Word Problems >

What is the probability of getting a King of hearts in a deck of 52 cards?

Solution

Wha t i s t h e p ro babi l i t y o f g e tt in g a K in g o f h e a r t s in a d ec k o f 52 c a r d s ?

Solution

\frac{1}{52}

+1

Decimal

0.01923 \dots

Solution steps

Find the probability of getting king:

\frac{1}{13}

Find the probability of getting heart:

\frac{1}{4}

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}{13} \cdot \frac{1}{4}

\frac{1}{13} \cdot \frac{1}{4} = \frac{1}{52}

= \frac{1}{52}

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