The tree diagram relates the weather forecast and school closings. Find the probability (as a percent) that the school is closed tomorrow if there is a

85
85% chance for heavy snow.

H - heavy snowfall L - light snowfall C - closed O - open


%

1 answer

To find the probability that the school is closed tomorrow if there is an 85% chance for heavy snow, we first need to calculate the probability of heavy snow and school closure occurring together.

Given:
P(H) = 0.85 (probability of heavy snow = 85%)
P(C|H) = 0.90 (probability of school being closed given heavy snow = 90%)

The probability of both heavy snow and school being closed is calculated as:
P(H and C) = P(C|H) * P(H)
= 0.90 * 0.85
= 0.765

Therefore, the probability that the school is closed tomorrow is 76.5% if there is an 85% chance of heavy snowfall.