Question

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a card with number from 2 to 5. ..... The probability is (Type an integer or a simplified fraction.)

Answer 1

The probability of not being dealt a card with a number from 2 to 5 is 9/13.

Step-by-step explanation:

To find the probability of not being dealt a card with a number from 2 to 5, we first need to determine the number of cards that satisfy this condition. There are four cards with a number 2, four cards with a number 3, four cards with a number 4, and four cards with a number 5. Therefore, there are a total of 16 cards (4+4+4+4) that we don't want to be dealt.

The total number of cards in a deck is 52. So the probability of not being dealt a card with a number from 2 to 5 is (52-16)/52, which simplifies to 36/52. This fraction can be simplified further to 9/13.