Question

you are dealt one card from a standard 52 card deck. find the probability of being dealt a card greater than 2 and less than 8

Answer 1

The given range is comprised of cards with a value between 3 and 7, inclusive, and there are 4 of each from the available suits. So there are 20 cards that fit the bill.

The probability of drawing 1 such card is

$\dfrac{\binom{20}1}{\binom{52}1}=\dfrac{20}{52}=\dfrac5{13}$