Final answer:
The probability of selecting a three from a standard 52-card deck is 4 out of 52, which simplifies to 1 out of 13 or about 0.077 when rounded to three decimal places.
Step-by-step explanation:
The probability of randomly selecting a three from a standard 52-card deck is determined by considering how many cards are threes out of the total number of cards. There are four threes in a 52-card deck, one three from each suit: clubs, diamonds, hearts, and spades. To calculate the probability, you divide the number of desired outcomes (the number of threes) by the total number of possible outcomes (the total number of cards in the deck).
So, the probability of selecting a three is:
Probability = (Number of threes) / (Total number of cards in the deck) = 4/52
Which simplifies to:
Probability = 1/13 ≈ 0.077
Rounded to three decimal places, the probability is 0.077.