Question

One card is drawn from a deck of 52. What is the probability? What’s the probability that it is a diamond?

Answer 1

Hint: We know that a deck of cards always contains 52 cards. There are four unique types of cards with different symbols. Diamond, spade, heart and club are the four different types of symbols. These symbol cards are numbered from two to ten and the numbering extends to J, K, Q, and A, alphabets. So thirteen cards in a symbol there are fifty two cards in a deck.

Complete step-by-step solution:
In this problem a card is drawn randomly from a deck of 52 cards, so we have to find what will be the probability that the drawn card will be a diamond. Each card is different, so the probability of drawing a card over the total number of 52 cards is,
\[\Rightarrow \dfrac{1}{52}\]
We know that cards are in different shapes, to find the probability of a diamond card we have to put the total number of diamond cards over the total number of cards in a deck. The total number of diamond cards is 13. Hence,
\[\Rightarrow \dfrac{13}{52}\]
We can now simplify it we get,
\[\Rightarrow \dfrac{1}{4}\]
 The probability of drawing a diamond card from a deck of 52 cards is \[\dfrac{1}{4}\].
Therefore, the solution is \[\dfrac{1}{4}\].

Note: The above problem we done can be done by using the probability formula too that is\[p\left( A \right)=\dfrac{n\left( A \right)}{n\left( S \right)}\] where P(A) is the probability of the event, n(A) is the favorable outcomes and n(S) is total number of favorable outcomes. This problem is so simple so there are only a few chances to make mistakes.