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Popular Word Problems >

What is the probability that a card drawn randomly from a standard deck of 52 cards is a two? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Solution

Wha t i s t h e p ro babi l i t y t ha t a c a r d d r a w n r an d o m l y f ro m a s t an d a r d d ec k o f 52 c a r d s i s a tw o ? E x p ress yo u r an s w er a s a f r a c t i o n in l o w es t t er m s or a d ec ima l ro u n d e d t o t h e n e a res t mi ll i o n t h .

Solution

\frac{1}{13}

+1

Decimal

0.07692 \dots

Solution steps

There are

52

cards in the deck

Total number of twoes is

4

Probability

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

= \frac{4}{52}

= \frac{1}{13}

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