Suppose a weather forecast reports that the probability of snow this week
is 0.20. The forecast states that if it snows this week, the probability that it
snows next week is 0.29. If it does not snow this week, the probability that
it snows next week is 0.15. The tree diagram depicts the possible weather
event outcomes with the associated probabilities.
What is the probability that it will snow next week?
This week
0.20
0.80
Snow
No snow
Next week
0.29
0.71
0.15
0.85
Snow
No snow
Snow
No snow
(Give your answer to 2 decimal place precision)