Step 1: Identify the total number of possible outcomes
A standard deck has 52 cards, so the total number of possible outcomes is 52 .
Step 2: Determine the number of favorable outcomes for queens
There are 4 queens in a deck (one for each suit: hearts, diamonds, clubs, spades).
Step 3: Determine the number of favorable outcomes for hearts
There are 13 hearts in a deck (one for each rank: Ace through King).
Step 4: Account for the overlap (queen of hearts)
The queen of hearts is counted in both the queens and hearts categories.
To avoid double-counting, subtract 1 from the total favorable outcomes.
Step 5: Calculate the probability
The number of favorable outcomes is 4 (queens) + 13 (hearts) – 1 (queen of hearts) = 16.
The probability is 16/52 = 4/13
Hence the final Answer is 4/13.