Question

A large box contains colored blocks, all the same size. There are only blue, red, yellow, and orange blocks in the box. A random sample of 40 blocks was removed from the box, then replaced. The result of the sampling was the following: 9 blue 15 red 11 yellow 5 orange One block will be removed from the box. Based on the experimental results, match each color with the probability for that color of block being removed from the box.

Answer 1

The probability of drawing a colored block is calculated by dividing the number of blocks of that color by the total number of sampled blocks. For blue blocks it is 9/40, for red blocks 15/40 or 3/8, for yellow blocks 11/40, and for orange blocks 5/40 or 1/8.

Step-by-step explanation:

To find the probability of removing a block of a certain color based on experimental results, we divide the number of blocks of that color in the sample by the total number of blocks in the sample. In the student's experiment, 40 blocks were sampled, and here's how to calculate each color's probability:

• Probability of blue: number of blue blocks / total blocks = 9 blue / 40 total = 9/40.
• Probability of red: 15 red / 40 total = 15/40, which can be reduced to 3/8.
• Probability of yellow: 11 yellow / 40 total = 11/40.
• Probability of orange: 5 orange / 40 total = 5/40, which can be reduced to 1/8.

We can use these probabilities to predict the chance of drawing each color from the box on any given single draw.