Without looking at any page, a number is chosen at random from the page. What is the probability that the digit at the units place of the number chosen is greater than 6 ?

Options

A. `3/10`
B. `6/10`
C. `4/10`
D. None of these

Answer

To find the probability that the digit at the unit's place of a randomly chosen number is greater than 6, we can follow these steps:

### Step 1: Identify the possible digits.
The digits at the unit's place can be any of the following:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

### Step 2: Count the total number of digits.
There are a total of 10 digits (0 through 9).

### Step 3: Identify the digits greater than 6.
The digits that are greater than 6 are:
7, 8, 9.

### Step 4: Count the number of favorable outcomes.
The number of favorable outcomes (digits greater than 6) is 3 (which are 7, 8, and 9).

### Step 5: Calculate the probability.
The probability \( P \) that the digit at the unit's place is greater than 6 is given by the formula:

\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{10} \]

### Final Answer:
The probability that the digit at the unit's place of the number chosen is greater than 6 is \( \frac{3}{10} \).

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