Answer:
the chance that Chase's car breaks down and he is late to work is 32%.
Step-by-step explanation:
To find the chance that Chase's car breaks down and he is late to work, we can use the information provided about the probabilities involved.
Given:
- Probability of being late if the car breaks down = 80%
- Probability of being late if the car doesn't break down = 5%
- Probability that the car doesn't break down = 60%
1. Calculate the probability that Chase's car breaks down:
- P(car breaks down) = 1 - P(car doesn't break down)
- P(car breaks down) = 1 - 0.60
- P(car breaks down) = 0.40 or 40%
2. Calculate the probability that Chase is late to work given that his car breaks down:
- P(late to work | car breaks down) = 80% or 0.80
3. Calculate the probability that Chase's car breaks down and he is late to work using the multiplication rule for independent events:
- P(car breaks down and late to work) = P(car breaks down) * P(late to work | car breaks down)
- P(car breaks down and late to work) = 0.40 * 0.80
- P(car breaks down and late to work) = 0.32 or 32%
So, the chance that Chase's car breaks down and he is late to work is 32%.
LEARNING, YOUR WAY
- Brainly
https://brainly.com/question/48193150
