Pick a card from 52, P(not heart)

Step by step

The question

Question: A card is picked from a deck of 52 cards.

What is the probability it is not a heart?

Not heart means every outcome except heart.

So we find the probability of heart first.

Then we take it from 1.

P stands for probability.

All the outcomes together make 1.

1 Count all outcomes

A deck has 52 cards.

It has 4 suits: hearts, diamonds, clubs and spades.

Each suit has 13 cards.

4 times 13 is 52.

2 Find the opposite

Hearts: 13.

That is 13 outcomes.

So the probability of heart is 13/52.

3 Take it from 1

Now we take it from 1.

Careful!

1 is all the outcomes: 52/52.

So we write 1 as 52/52.

Same bottoms: we take away the tops.

52 minus 13 is 39.

4 Simplify

Both 39 and 52 can be divided by 13.

That makes it simpler.

So it is 3/4.

5 As a percent

Percent means out of 100.

We make the bottom 100: times 25, top and bottom.

75 out of 100 is 75%.

6 Check

Let's check by counting the others: 52 minus 13 is 39.

39 out of 52.

The same.

So the answer is right!

Let's look back.

First: count all outcomes.

Then: find the opposite.

Then: take it from 1.

Then: simplify.

Then: as a percent.

Last: check.