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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]
### 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]
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