What you know about your commute:
- Traffic: 30% chance of an accident, 10% chance of construction, 60% chance of no traffic.
- Weather: 70% chance of sun, 30% chance of rain.
- There is a 0% chance it will be rainy and there will be no traffic.
What is the probability that it will be rainy or there will be no traffic? Type your answer as a decimal between 0 and 1 (e.g., 10% = 0.1).
P(rainy or no traffic) = 0.3 + 0.6 − 0 = 0.9. Because rain and no-traffic never happen together, the overlap term is zero — the events are mutually exclusive, so the addition rule reduces to simple addition.
It looks like you subtracted P(rainy) × P(no traffic) = 0.18 as the overlap. Multiplying like that assumes the events are independent — but the problem tells you the actual joint probability: 0. Try again.
0.6 is just P(no traffic). The question asks about rainy or no traffic — use the addition rule. Try again.
0.3 is just P(rainy). The question asks about rainy or no traffic — use the addition rule. Try again.
It looks like you entered a percent — please answer as a decimal between 0 and 1 (e.g., 40% = 0.4).
Use the addition rule: P(rainy or no traffic) = P(rainy) + P(no traffic) − P(rainy and no traffic). The problem tells you that last piece is 0. Try again.