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 clubs as its suit? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

Explanation:

Step1: Identify favorable and total outcomes

The total number of cards is 52. The number of club - suited cards is 13.

Step2: Calculate probability as a fraction

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P(\text{club})=\frac{13}{52}=\frac{1}{4}$.

Step3: Calculate probability as a decimal

$\frac{1}{4}= 0.25$.

Step4: Calculate probability as a percentage

$0.25\times100\% = 25.00\%$.

Answer:

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