Question

say that a card is drawn from a standard deck of cards with no jokers. this deck has 4 suits (diamonds, spades, hearts, clubs), with 13 cards per suit (numbers 2 through 10, jack, queen, king, ace), which add up to 52 cards in total. what is the probability that the card drawn has hearts as its suit? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place. show your work here fraction: decimal: percent:

Explanation:

Step1: Identify favorable and total outcomes

The total number of cards in the deck is $n = 52$. The number of heart - suited cards is $m=13$.

Step2: Calculate probability as a fraction

The probability formula is $P=\frac{m}{n}$. Substituting $m = 13$ and $n = 52$, we get $P=\frac{13}{52}=\frac{1}{4}$.

Step3: Calculate probability as a decimal

To convert the fraction $\frac{1}{4}$ to a decimal, we divide 1 by 4: $1\div4 = 0.25$.

Step4: Calculate probability as a percentage

To convert the decimal to a percentage, we multiply by 100: $0.25\times100 = 25.00\%$.

Answer:

Fraction: $\frac{1}{4}$
Decimal: $0.25$
Percent: $25.00\%$