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 an 8 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 an 8 (one in each suit).

Step2: Determine total number of outcomes

There are 52 cards in the deck.

Step3: Calculate probability as fraction

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{4}{52}=\frac{1}{13}$.

Step4: Convert fraction to decimal

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

Step5: Convert decimal to percentage

$0.08\times100 = 8.00\%$

Answer:

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