A survey of 650 men showed that only 52 of them know English. Out of these men, if one is selected at random, what is the probability that the selected man knows English.

Answer

To find the probability that a randomly selected man knows English, we can follow these steps:

### Step 1: Identify the total number of men surveyed
The total number of men surveyed is given as 650.

### Step 2: Identify the number of men who know English
From the survey, we know that 52 men know English.

### Step 3: Use the probability formula
The probability \( P \) that a randomly selected man knows English is calculated using the formula:

\[ P(\text{knows English}) = \frac{\text{Number of men who know English}}{\text{Total number of men}} \]

### Step 4: Substitute the values into the formula
Now we substitute the values we identified:

\[ P(\text{knows English}) = \frac{52}{650} \]

### Step 5: Simplify the fraction
To simplify \( \frac{52}{650} \), we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 52 and 650 is 26.

\[ \frac{52 \div 26}{650 \div 26} = \frac{2}{25} \]

### Step 6: State the final answer
Thus, the probability that the selected man knows English is:

\[ \frac{2}{25} \]

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