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

Question

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 Queen?





Remember the following formula:



PA= Frequency in which Event A occursTotal number of observations



2/52
4/52
12/52

Answer 1

To determine the probability of selecting a Queen from a standard deck of 52 cards, we can use the formula provided:

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

In a standard deck of cards, there are 4 Queens (one from each suit: diamonds, hearts, spades, and clubs).

So:

• Frequency of selecting a Queen = 4 (there are 4 Queens in the deck)
• Total number of observations = 52 (the total number of cards in the deck)

Now, we can plug in these values into the formula:

\[ P(\text{Queen}) = \frac{4}{52} \]

This can be simplified:

\[ P(\text{Queen}) = \frac{1}{13} \]

From the options you provided (2/52, 4/52, 12/52), the correct answer is:

\(\frac{4}{52}\).