Question

If a dice is thrown, what is the probability of getting 6 ?

• A. 1/3
• B. 2/3
• C. 3/4
• D. 1/6

Hint:

A dice has 6 equally likely faces and only one of them shows 6.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
A standard dice has six faces, numbered 1 to 6. When it is thrown, any one face can come up. We need the chance that the face showing is 6.

Step 2: Key Formula or Approach:
\[ P(E) = \frac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}} \]

Step 3: Count the outcomes:
Total outcomes: 1, 2, 3, 4, 5, 6, so there are 6.
Favourable outcomes: only the face 6, so there is 1.

Step 4: Calculate:
\[ P(6) = \frac{1}{6} \]

Step 5: Check the other options:
Option (1) 1/3 would be the chance of getting a 5 or 6, which is 2 faces. Option (2) 2/3 would be 4 faces. Option (3) 3/4 does not fit any count out of 6. So options (1), (2) and (3) are wrong.

Final Answer:
The probability of getting 6 is 1/6. This is option (4). \[ \boxed{\frac{1}{6}} \]