Question

the table shows the results of drawing 44 cards from a deck of 104 game cards. after each draw, the card is replaced. based on the results, what is the chance that a draw results in a wild card?

card type	wild card	number card	penalty card

options: \\(\frac{5}{52}\\), \\(\frac{11}{26}\\), \\(\frac{5}{17}\\), \\(\frac{5}{22}\\)

Explanation:

Step1: Find total number of draws

The total number of cards drawn is the sum of the frequencies of all card types. So, total draws = 10 (Wild) + 32 (Number) + 2 (Penalty) = 44.

Step2: Calculate probability of wild card

The probability of drawing a wild card is the number of wild card draws divided by the total number of draws. So, probability = $\frac{10}{44}$. Simplify this fraction by dividing numerator and denominator by 2: $\frac{10\div2}{44\div2}=\frac{5}{22}$.

Answer:

$\frac{5}{22}$ (corresponding to the option with $\frac{5}{22}$)