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: Use equal chances:
A fair dice has the same chance of landing on each face. There are 6 faces, so the six chances must add up to 1.
$6 \times p = 1$.

Step 2: Solve for one face:
$p = \frac{1}{6}$. This is the chance for any single face, including 6.

Step 3: Cross-check with the complement:
The chance of not getting 6 is $\frac{5}{6}$, because 5 faces are not 6.
Then $1 - \frac{5}{6} = \frac{1}{6}$, which agrees.

Final Answer:
The probability of getting a 6 is 1/6. \[ \boxed{\frac{1}{6}} \]