(2014?Jieyang 1st model) According to the air quality index AQI (for integer), the air quality can be graded as follows: AQI (value)

(1) From the bar chart, we can see that the number of days in which the air quality category is moderately polluted is 6,

So the probability that the city's air quality category is moderately polluted in this month?P =

6
30
=
1
5
.

(2) From the bar chart, we know that there are 4 data with the color of air quality category purple, which are set as a, b, c and d, and there are 2 data with the color of air quality category maroon, which are set as e and f.

Set any 2 data from the above 6 data, and at least one of the data reflecting the color of the air quality category maroon is the event A.

Then, basic events are: (a, b), (a, c), (a, d), (b, c), (b, d), (c, d), (a, e), (a, f), (b, e), (b, f), (c, e), (c, f), (d, e), (d, f), (e, f) *** 15 possibilities,

A contains the basic events: (a, e), (a, f) , (b, e), (b, f), (c, e), (c, f), (d, e), (d, f), (e, f) 9 possibilities,

Therefore, the probability sought, P(A) =

< tr>
9
15
=
3
5
.