Question

You use a stain remover on two separate stains on a shirt. Design and use a simulation to find the experimental probability that the stain remover removes both the mud stain and the food stain. Probability of Stain Removal Mud 90% Food 80%

Answer 1

Once the stain is completely dry, gently scrape off the clumps of dirt that are on the surface of your clothing item. Soak the stain in detergent and leave for 15 minutes. Rub liquid laundry detergent over the stain and let it rest for at least 15 minutes.

Answer 2

The experimental probability of successfully removing both the mud stain and the food stain using the stain remover is approximately 72%

How to find probability?

The probability of both events occurring (stain remover removing both the mud stain and the food stain) is calculated by multiplying the probabilities of each event individually.

This is based on the probability of the intersection of independent events:

`\[ P(\text{Mud and Food}) = P(\text{Mud}) * P(\text{Food}) \]`

Given:

`\[ P(\text{Mud}) = 0.90 \]`

`\[ P(\text{Food}) = 0.80 \]`

`\[ P(\text{Mud and Food}) = 0.90 * 0.80 \]`

Now, perform the multiplication:

`\[ P(\text{Mud and Food}) = 0.72 \]`

So, the experimental probability that the stain remover removes both the mud stain and the food stain is 0.72 or 72%.