#10-1 : What is the probability of randomly choosing a diamond card from a regular deck of 52 cards? What is the probability of
choosing a club?
1 answer:
![\huge{\boxed{\frac{1}{4}}}\ \ \huge{\boxed{\frac{1}{4}}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cboxed%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%5C%20%5C%20%5Chuge%7B%5Cboxed%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D)
There are
of each suit in a deck of
cards.
This means the probability of drawing a diamond card is
. You can divide the numerator and denominator each by
to simplify. ![\frac{13}{52} \div \frac{13}{13} = \boxed{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B52%7D%20%5Cdiv%20%5Cfrac%7B13%7D%7B13%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B1%7D%7B4%7D%7D)
Since there are the same number of clubs as there are diamonds, the probabilities are the same.
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