you draw a card from a standard deck of 52 playing cards find the probability that you do not draw five or six

Answer 1

The probability of an outcome occurring is calculated as the the total ways that the outcome can occur divided by the total number of outcomes.

Since there are 4 fives and 4 sixes in a 52 playing card deck, excluding these 8 possible outcomes leaves 44 ways in which to draw something other than a 4 or 5. Since there are 52 possible outcomes, the probability of drawing something other than a 4 or 5 is 44/52 or 85%.