The table shows the results of randomly selecting a colored cube from a bag 80 times. The cube was returned to the bag after each selection.
Blue Orange Purple Red Yellow
Number of Times Selected 14 8 16 24 18
Based on these results, what is the expected probability of randomly selecting a red cube from the bag in one attempt?
Responses
A 0.200.20
B 0.240.24
C 0.040.04
D 0.30
The expected probability of selecting a red cube can be found by dividing the number of times a red cube was selected (24) by the total number of selections (80):
Expected probability = 24/80 = 0.3
Therefore, the answer is (D) 0.3.
To calculate the expected probability of selecting a red cube from the bag in one attempt, we need to divide the number of times the red cube was selected by the total number of selections.
From the given table, we can see that the red cube was selected 24 times out of 80 total selections.
Therefore, the expected probability of selecting a red cube in one attempt is 24/80 = 0.3.
So, the correct answer is D) 0.3.
To find the expected probability of randomly selecting a red cube from the bag in one attempt, we need to calculate the probability of selecting a red cube based on the results given in the table.
First, we need to find the total number of times a cube was selected. Based on the table, the total number of times a cube was selected is:
14 (blue) + 8 (orange) + 16 (purple) + 24 (red) + 18 (yellow) = 80
Next, we need to find the number of times a red cube was selected. According to the table, the red cube was selected 24 times.
Finally, we can calculate the expected probability by dividing the number of times a red cube was selected by the total number of times a cube was selected:
24 (red) / 80 (total) = 0.3
Therefore, the expected probability of randomly selecting a red cube from the bag in one attempt is 0.3. So, the correct answer is option D: 0.30.