If you draw a card from a standard deck of cards ,what is the probability of not drawing a heart

Question

If you draw a card from a standard deck of cards ,what is the probability of not drawing a heart?

Answer 1

There are 13 hearts and a total of 39 clubs, diamonds, and spades.

Probability=(number of favorable events)/(total number of equally likely outcomes)

Probability=(number of ways the event can occur)/(total number of outcomes)

not drawing a heart can occur in 39 ways out of a total of 52 outcomes

Probability=39/52=3/4

Another way of looking at the problem...

The probability of drawing a heart is 13/52=1/4

The probability of not drawing a heart is 1-(1/4)=3/4 because probability is a number between 0 and 1 which indicates the likelihood that an event will occur. If the probability is 0 the event can never occur and if the probability is 1 the event is certain to occur.

Answer 2

A standard deck of cards has 13 cards each of 4 different suits (clubs, diamonds, hearts, and spades), for a total of 52 cards. If you draw a single card, there are 39 cards which are not hearts out of 52 total.

p = 39/52 = 3/4 = 0.75