A die is thrown . What is the probability of getting 6?

Options

A. 1
B. `1/6`
C. `6/1`
D. None of these

Answer

To find the probability of getting a 6 when a die is thrown, we can follow these steps:

### Step 1: Define the Sample Space
The sample space is the set of all possible outcomes when a die is thrown. For a standard six-sided die, the possible outcomes are:
\[ \text{Sample Space} = \{1, 2, 3, 4, 5, 6\} \]

### Step 2: Count the Total Number of Outcomes
Next, we count the total number of outcomes in the sample space. There are 6 outcomes:
\[ \text{Total Outcomes} = 6 \]

### Step 3: Identify Favorable Outcomes
Now, we need to determine the number of favorable outcomes for the event we are interested in, which is getting a 6. In the sample space, the number 6 appears once:
\[ \text{Favorable Outcomes} = 1 \]

### Step 4: Use the Probability Formula
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} \]
Substituting the values we found:
\[ \text{Probability of getting a 6} = \frac{1}{6} \]

### Step 5: State the Final Answer
Therefore, the probability of getting a 6 when a die is thrown is:
\[ \text{Probability} = \frac{1}{6} \]

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