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. show your work here fraction decimal percentage

Explanation:

Step1: Calculate the probability as a fraction

The formula for probability is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
There are 13 club - suited cards (favorable outcomes) and 52 total cards (total outcomes). So, \(P = \frac{13}{52}\). Simplifying \(\frac{13\div13}{52\div13}=\frac{1}{4}\).

Step2: Convert the fraction to a decimal

To convert \(\frac{1}{4}\) to a decimal, use division: \(1\div4 = 0.25\).

Step3: Convert the decimal to a percentage

To convert a decimal to a percentage, multiply by 100. So, \(0.25\times100 = 25.00\%\).

Answer:

Fraction: \(\frac{1}{4}\)
Decimal: \(0.25\)
Percentage: \(25.00\%\)