Question

You are dealt one card from a​ 52-card deck. find the probability that you are not dealt a two

Answer 1

There are 52 cards in a deck.

First we find the probability of drawing a 2

There are 4 cards that shows 2

Probability of drawing a 2 card fro 52 cards = 4 / 52

We know that P( not A) = 1 - P(A)

So the probability (not dealt a 2) = 1 - probability (dealt a 2)

= 1 - 4/52

= (52 - 4)/ 52 = 48/52

Now we simplify the fraction

48/ 52 = 12/13

Hence, the probability( not dealt a 2) = 12/13