The weather forecast for tomorrow indicates that there is a 70% chance that there will be a high wind speed. The probability of snowing is 90% and 60% under high wind speed and low wind speed, respectively, for tomorrow. There will be a severe weather warning if there is high wind speed and it is snowing too.
(a) What is the probability that there will be a severe weather warning tomorrow?
(b) If you wake up tomorrow morning and see that it is snowing, what is the probability that there is a severe weather warning?