Question

A bag contains a total of 24 white, red, and blue marbles. A student randomly selects a marble from the bag, notes the color, and returns it to the bag. The student repeats this process 24 times. Based on the given bar graph showing the results, what is the theoretical probability of selecting a Blue Marble?

a) 1/3
b) 1/4
c) 1/2
d) 2/3

Answer 1

The theoretical probability of selecting a blue marble is 1/3.

Step-by-step explanation:

The given bar graph shows the results of selecting marbles randomly from a bag that contains a total of 24 white, red, and blue marbles. To find the theoretical probability of selecting a blue marble, we need to determine the number of blue marbles in the bag and divide that by the total number of marbles.

Based on the bar graph, there are 8 blue marbles out of a total of 24 marbles. Therefore, the theoretical probability of selecting a blue marble is 8/24, which simplifies to 1/3.