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Tomorrow's weather forecast is displayed in the table below. Use this information to answer the questions.

\begin{tabular}{|l|l|}
\hline Rain & [tex]$35\%$[/tex] \\
\hline Snow & [tex]$30\%$[/tex] \\
\hline Sleet & [tex]$25\%$[/tex] \\
\hline Cloudy & [tex]$10\%$[/tex] \\
\hline
\end{tabular}

According to the weather forecast, is it likely that it will rain tomorrow?

It is [tex]$\square$[/tex] likely that it will rain tomorrow. It is most likely that [tex]$\square$[/tex] will occur.

The probability that it rains tomorrow is [tex]$\square$[/tex] [tex]$35\%$[/tex], but the probability that it does not rain tomorrow is [tex]$\square$[/tex] [tex]$65\%$[/tex].


Sagot :

Let's go through the solution step-by-step based on the given weather forecast probabilities.

### Step-by-Step Solution

1. Given Probabilities:
- Rain: 35%
- Snow: 30%
- Sleet: 25%
- Cloudy: 10%

2. Assessing Likelihood of Rain:
- A weather event is generally considered "likely" if it has more than a 50% probability.
- In this case, the probability of rain is 35%, which is less than 50%.
- Thus, it is not likely that it will rain tomorrow.

3. Determining the Most Likely Event:
- To find out which weather event is most likely, we compare all the given probabilities.
- Rain: 35%
- Snow: 30%
- Sleet: 25%
- Cloudy: 10%
- The highest probability is 35% for Rain.
- Therefore, the most likely event is Rain.

4. Comparing Probabilities:
- The probability that it will rain tomorrow is 35%.
- We are asked to compare this with 60%:
- Since 35% is less than 60%, the probability that it rains is less than 60%.
- The probability that it does not rain can be calculated by subtracting the rain probability from 100%:
- Probability of not raining = 100% - 35% = 65%.

5. Filling in the Statements:
- According to the weather forecast, it is not likely that it will rain tomorrow.
- It is most likely that Rain will occur.
- The probability that it rains tomorrow is less than 60%, but the probability that it does not rain tomorrow is 65%.

### Final Answer:
[tex]\[ \begin{aligned} & \text{According to the weather forecast, it is } \textbf{not} \text{ likely that it will rain tomorrow.} \\ & \text{It is most likely that } \textbf{Rain} \text{ will occur.} \\ & \text{The probability that it rains tomorrow is } \textbf{less than} \text{ 60%, but the probability that it does not rain tomorrow is } \textbf{65%}. \end{aligned} \][/tex]