You are dealt one card from a 52-card deck. Find the probability that you are not dealt: a heart.

Solution:

Given a set of 52 cards deck.

A standard deck of cards contains 13 spades, 13 clubs, 13 hearts, 13 diamonds

So there are 13 chances to draw a heart.

Let P be the probability of getting a heart in 52-cards

P = favourable events / total events

P = 13/52

P = 0.25

But we need probability of not getting a heart, let it be P'

We know that the sum of probability and its complement probability is equal to 1

P + P' = 1

P' = 1 - P

P' = 1 - 0.25

P' = 0.75

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You are dealt one card from a 52-card deck. Find the probability that you are not dealt: a heart.

Summary:

If you are dealt one card from a 52-card deck then the probability that you are not dealt a heart is 0.75