Question

question 17 · 1 point if you draw a random card from a standard deck of 52 cards, what are the odds of drawing the jack, queen, or king of diamonds? write your answer in the form a: b as a fully reduced ratio. note: in a standard deck of cards, each of the four suites has three face cards. provide your answer below:

Explanation:

Step1: Identify favorable and total outcomes

Favorable outcomes: Jack, Queen, King of diamonds → 3 cards.
Total cards: 52.
Unfavorable outcomes: \( 52 - 3 = 49 \).

Step2: Calculate odds

Odds in favor = Favorable : Unfavorable = \( 3:49 \) (already reduced, as GCD(3,49)=1).

Answer:

\( 3:49 \)