Question

a card is chosen at random from a deck of 24 cards (2 red, 12 black, 4 blue, and 6 green). then, the card is returned to the deck and a new card is chosen. the table below shows the results of choosing 16 cards. what is the experimental probability of choosing a red card?
results
red black blue green
5 8 1 2
a 5/24
b 2/16
c 5/16
d 1/12
e 1/2

Explanation:

Step1: Recall Experimental Probability Formula

Experimental probability of an event is calculated as the number of times the event occurs divided by the total number of trials. The formula is $P(\text{event}) = \frac{\text{Number of times event occurs}}{\text{Total number of trials}}$.

Step2: Identify Values for Red Card

From the table, the number of times a red card was chosen (event occurs) is 5. The total number of trials (cards chosen) is 16 (since we chose 16 cards).

Step3: Calculate Experimental Probability

Using the formula, the experimental probability of choosing a red card is $\frac{5}{16}$.

Answer:

C. 5/16