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 a 7 on it? submit your answer as a simplified fraction, as well as a decimal and percentage, both rounded to the hundredths place.

Explanation:

Step1: Identify favorable outcomes

There are 4 cards with 7 (one in each suit).

Step2: Identify total outcomes

Total number of cards is 52.

Step3: Calculate probability as fraction

Probability $P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{4}{52}=\frac{1}{13}$.

Step4: Calculate decimal

$\frac{1}{13}\approx 0.08$ (rounded to hundredths).

Step5: Calculate percentage

$0.08\times100 = 8.00\%$.

Answer:

Fraction: $\frac{1}{13}$
Decimal: $0.08$
Percent: $8.00\%$