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Popular Word Problems >

On a deck of 52 cards, cards are drawn at random and in succession. Once the first drawn, it is replaced. What is the probability of getting king and queen? Show your Solution.

Solution

O n a d ec k o f 52 c a r d s, c a r d s a re d r a w n a t r an d o m an d in s u ccess i o n . O n ce t h e f i rs t d r a w n, i t i s re pl a ce d . Wha t i s t h e p ro babi l i t y o f g e tt in g kin g an d q u ee n ? S h o w yo u r S o l u t i o n .

Solution

\frac{1}{13}

+1

Decimal

0.07692 \dots

Solution steps

There are

52

cards in the deck

Total number of kings is

4

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{4}{52}

= \frac{1}{13}

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