Question

What is the probability of drawing a heart from the deck of cards?

Answer 1

Hint: We can find the probability by checking out the number of heart cards in a deck of cards and dividing it with the total number of cards. A deck of cards contains \[52\] cards in total. A standard deck of cards has four suites: hearts, clubs, spades and diamonds.

Complete step by step solution:
Now let us know more about the probability. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. There are three major types of probabilities: Theoretical Probability. Experimental Probability, Axiomatic Probability. Probabilities can be expressed in percentages ranging from \[0%\] to \[100%\].
Now let us calculate the probability of drawing a heart from the deck of cards.
A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.
This probability can be found in two ways.
The first method is:
We know that there are four suits in a deck of cards. One of the suits is hearts.
\[\Rightarrow P\left( heart \right)=\dfrac{1}{4}\]
\[\therefore \] The probability of drawing a heart from the deck of cards is \[\dfrac{1}{4}\].
Second method:
We know that there are \[52\] cards in a deck of cards. Out of which \[13\] are of them are hearts.
\[\Rightarrow P\left( heart \right)=\dfrac{13}{52}=\dfrac{1}{4}\]
We get the same probability in both the cases.

\[\therefore \] The probability of drawing a heart from the deck of cards is \[\dfrac{1}{4}\].

Note:
The sum of probabilities is always one. There are three main rules associated with basic probability. They are the addition rule, the multiplication rule and the complement rule. We can give an outcome a probability of 0 if we are sure that that outcome will never occur.