To solve the problem of finding the probability that it is clear given that you are in San Antonio, we'll follow these steps:
1. Identify the relevant data from the table.
2. Formulate the probability in terms of the data.
3. Perform the calculation.
4. Round the result to two decimal places.
### Step 1: Identify the relevant data
From the table, we can extract the data specific to San Antonio, TX:
- Number of clear days in San Antonio: [tex]\( \text{clear\_San\_Antonio} = 6 \)[/tex]
- Total number of days observed in San Antonio: [tex]\( \text{total\_San\_Antonio} = 30 \)[/tex]
### Step 2: Formulate the probability
The probability of a clear day given that you are in San Antonio can be found using the formula:
[tex]\[
P(\text{Clear} | \text{San Antonio}) = \frac{\text{Number of clear days in San Antonio}}{\text{Total number of days in San Antonio}}
\][/tex]
### Step 3: Perform the calculation
Plugging in the numbers from Step 1:
[tex]\[
P(\text{Clear} | \text{San Antonio}) = \frac{6}{30}
\][/tex]
Now, simplify this fraction:
[tex]\[
P(\text{Clear} | \text{San Antonio}) = \frac{1}{5} = 0.2
\][/tex]
### Step 4: Round the result
Our calculation already results in 0.2, which is in two decimal places.
Thus, the probability that it is clear given that you are in San Antonio is [tex]\( 0.2 \)[/tex] or 20%.
