The problem asks us to estimate the probability that it will be sunny tomorrow, given a bar graph summarizing the weather conditions in Crayonton for each day of the month so far.

Probability and StatisticsProbabilityEstimationData AnalysisBar Graph
2025/3/6

1. Problem Description

The problem asks us to estimate the probability that it will be sunny tomorrow, given a bar graph summarizing the weather conditions in Crayonton for each day of the month so far.

2. Solution Steps

First, we need to read the number of days for each weather condition from the bar graph:
Sunny: 3 days
Cloudy: 5 days
Rainy: 2 days
Snowy: 2 days
Next, we need to find the total number of days represented in the graph:
Total days = Sunny + Cloudy + Rainy + Snowy
Total days = 3+5+2+2=123 + 5 + 2 + 2 = 12 days
Now, we can calculate the probability of a sunny day based on the historical data. The probability of a sunny day is the number of sunny days divided by the total number of days:
P(Sunny)=Number of sunny daysTotal number of daysP(Sunny) = \frac{\text{Number of sunny days}}{\text{Total number of days}}
P(Sunny)=312P(Sunny) = \frac{3}{12}
Finally, simplify the fraction:
P(Sunny)=312=14P(Sunny) = \frac{3}{12} = \frac{1}{4}

3. Final Answer

14\frac{1}{4}

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