Question

you are dealt one card from a 52 - card deck. find the probability that you are not dealt a card with number from 6 to 9. click the icon to view a description of a standard deck of playing cards. the probability is (type an integer or a simplified fraction.)

Explanation:

Step1: Count favorable outcomes

There are 4 suits in a deck. For numbers 6 - 9, there are 4 numbers per suit, so $4\times4 = 16$ cards with numbers 6 - 9. Then the number of non - 6 - 9 cards is $52-16=36$.

Step2: Calculate probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{36}{52}=\frac{9}{13}$.

Answer:

$\frac{9}{13}$