Question

suppose that a single card is selected from a standard 52 - card deck. what is the probability that the card drawn is a queen? now suppose that a single card is drawn from a standard 52 - card deck, but it is told that the card is a face card (jack, queen, or king). what is the probability that the card drawn is a queen? the probability that the card drawn from a standard 52 - card deck is a queen is (round to three decimal places as needed.)

Explanation:

Step1: Identify total and favorable outcomes

Total cards in deck $n(S)=52$, number of queens $n(E)=4$.

Step2: Calculate probability formula

Probability $P(E)=\frac{n(E)}{n(S)}=\frac{4}{52}=\frac{1}{13}\approx 0.077$.

Answer:

$0.077$