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Popular Word Problems >

what is the probability of picking two kings when selecting 2 cards from a 52 card deck?

Solution

w ha t i s t h e p ro babi l i t y o f p i c kin g tw o kin g s w h e n se l ec t in g 2 c a r d s f ro m a 52 c a r d d ec k ?

Solution

\frac{1}{169}

+1

Decimal

0.00591 \dots

Solution steps

The possible outcomes when two cards are drawn are

52 \cdot 52

Therefore, the number of possible outcomes:

5 2^{2}

Find the number of favorable outcomes of picking 2 kings when selecting 2 cards from a 52 card deck:

16

Probability

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

= \frac{16}{5 2 ^{2}}

\frac{16}{5 2 ^{2}} = \frac{1}{169}

= \frac{1}{169}

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