Questions: If the probability of a thunderstorm today is 2/9, then what is the complement or the probability of it NOT thunderstorming today? a.) 9/7 b.) 9/2 c.) 1/9 d.) 7/9

If the probability of a thunderstorm today is 2/9, then what is the complement or the probability of it NOT thunderstorming today? a.) 9/7 b.) 9/2 c.) 1/9 d.) 7/9
Transcript text: If the probability of a thunderstorm today is $\frac{2}{9}$, then what is the complement or the probability of it NOT thunderstorming today? a.) $\frac{9}{7}$ b.) $\frac{9}{2}$ c.) $\frac{1}{9}$ d.) $\frac{7}{9}$
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Solution

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Solution Steps

Step 1: Given Probability

The probability of a thunderstorm today is given as

\[ P(\text{thunderstorm}) = \frac{2}{9} \]

Step 2: Calculate the Complement

To find the probability of it NOT thunderstorming today, we calculate the complement:

\[ P(\text{not thunderstorm}) = 1 - P(\text{thunderstorm}) = 1 - \frac{2}{9} \]

Step 3: Simplify the Expression

We can express \(1\) as \(\frac{9}{9}\):

\[ P(\text{not thunderstorm}) = \frac{9}{9} - \frac{2}{9} = \frac{7}{9} \]

Final Answer

The probability of it NOT thunderstorming today is

\[ \boxed{\frac{7}{9}} \]

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