In a pack of cards, there are 52 cards. There are 4 suits: diamonds, hearts, spades and clubs.

Each suit has a King, a Queen, a Jack and an Ace. It also has cards for 2, 3, 4, 5, 6, 7, 8, 9 and 10.



If the pack has been shuffled so that the cards are in no particular order, and you select one card from the pack without looking, what is the probability of selecting a Jack of Hearts?





Remember the following formula:



PA= Frequency in which Event A occursTotal number of observations



1/52
4/52
2/52

1 answer

To find the probability of selecting the Jack of Hearts from a standard deck of 52 cards, we will use the formula provided:

\[ P(A) = \frac{\text{Frequency of Event A}}{\text{Total number of observations}} \]

In this case:

  • The event \(A\) is selecting the Jack of Hearts.
  • There is only 1 Jack of Hearts in the deck.
  • The total number of cards in the deck is 52.

So, the probability \(P(\text{Jack of Hearts})\) can be calculated as:

\[ P(\text{Jack of Hearts}) = \frac{1}{52} \]

Thus, the correct answer is:

1/52