Question

Given that today is sunny, what's the probability that tomorrow is sunny and the day after is rainy

Answer 1

Answer:

Explanation:

My working for part a) S-S-C+ S-C-C (0.7*0.7*0.3 + 0.7*0.3*0.6)

b) S-S-C + S-C-S (0.7*0.7*0.3 + 0.7*0.3*0.4)

Here is the problem:

Meteorological data shows that if today is sunny weather, then probability that tomorrow also will be sunny is 0.7, and in case if today is cloudy, then tomorrow will be sunny with a 0.4 probability.

a) If today is sunny, find the probability that day after tomorrow will be cloudy

b) If today is sunny, find the probability that only one of the next two days will be sunny