Question

a deck of 108 cards contains an equal number of each color: red, yellow, green, and black. if a card is chosen at random, what is the probability that it is black?
options: \\(\frac{1}{108}\\), \\(\frac{1}{3}\\), \\(\frac{1}{27}\\), \\(\frac{1}{4}\\)

Explanation:

Step1: Find number of black cards

There are 4 colors (red, yellow, green, black) with equal number of cards. Total cards = 108. So number of black cards = \( \frac{108}{4} = 27 \).

Step2: Calculate probability

Probability of choosing a black card = \( \frac{\text{Number of black cards}}{\text{Total number of cards}} = \frac{27}{108} = \frac{1}{4} \).

Answer:

\( \frac{1}{4} \) (the option with \( \frac{1}{4} \))