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: Determine number of favorable outcomes

There are 4 cards with 7 (one in each suit), so favorable outcomes = 4.

Step2: Determine total number of outcomes

Total number of cards in deck is 52, so total outcomes = 52.

Step3: Calculate probability as fraction

Probability $P=\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{4}{52}=\frac{1}{13}$.

Step4: Calculate decimal value

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

Step5: Calculate percentage value

$0.08\times100 = 8\%$.

Answer:

Fraction: $\frac{1}{13}$
Decimal: $0.08$
Percent: $8\%$