Answer:
0.6 = 60% probability that it is either sunny or rainy.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Rain
Event B: Sun
The chance of rain is 20%
This means that [tex]P(A) = 0.2[/tex]
The chance of it being sunny is 60%
This means that [tex]P(B) = 0.6[/tex]
The chance of it being sunny and rainy at the same time is 10%.
This means that [tex]P(A \cap B) = 0.1[/tex]
Calculate, the probability that it is either sunny or rainy.
This is:
[tex]P = P(A) + P(B) - 2P(A \cap B) = 0.2 + 0.6 - 0.2 = 0.6[/tex]
0.6 = 60% probability that it is either sunny or rainy.
