A bag of marbles containing yellow, blessed, red and purple marbles. There are a total of 24 marbles in the bag. you randomly selected a marble from the bag and then put it back. Repeat the process 15 times. If you select a yellow marble 5 times,how many yellow marbles are probably in the bag
5/15 = 1/3
1/3 * 24 = ?
To determine the estimated number of yellow marbles in the bag, we can use the concept of probability and make a reasonable assumption based on the data provided.
Given that you randomly selected a marble from the bag and put it back, each selection is an independent event with the same probability. The probability of selecting a yellow marble can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag.
In this case, you selected a yellow marble 5 times out of 15 selections. Therefore, we can set up an equation to find the estimated number of yellow marbles:
Probability of selecting a yellow marble = Number of yellow marbles / Total number of marbles
5/15 = Number of yellow marbles / 24
To solve for the estimated number of yellow marbles, we can cross-multiply and simplify:
5 * 24 = 15 * Number of yellow marbles
120 = 15 * Number of yellow marbles
Dividing both sides of the equation by 15:
Number of yellow marbles = 120 / 15
Number of yellow marbles = 8
Therefore, there are probably around 8 yellow marbles in the bag based on the given information and the assumption that the process was random.