The tree diagram relates the weather forecast and school closings. Find the Probability that the school is closed tomorrow due to snow.
To find the probability that the school is closed tomorrow due to snow, we need to look at the possible outcomes based on the weather forecast. Let's break it down into a tree diagram:
Weather forecast:
1. Snow (60% chance)
- School closed (80% chance)
- School open (20% chance)
2. No snow (40% chance)
- School closed (10% chance)
- School open (90% chance)
Now we need to find the probability that the school is closed tomorrow due to snow. This is the probability of the event "School closed" given that the weather forecast is "Snow", which is 80%.
Therefore, the probability that the school is closed tomorrow due to snow is 80%.