Question

When a 5 sided dice is rolled, what will be the probability of getting one of the 5 numbers on the dice?

• A. $\frac{2}{5}$
• B. $\frac{1}{5}$
• C. 0
• D. 1

Answer 1

The correct option is D 1

Let the numbers be 1, 2, 3, 4 and 5.
Total number of possibilities for numbers appearing on the dice = 3.

$\text{Probability of getting 1 on the dice}=\frac{1}{5}$
$\text{Probability of getting 2 on the dice}=\frac{1}{5}$
$\text{Probability of getting 3 on the dice}=\frac{1}{5}$
$\text{Probability of getting 4 on the dice}=\frac{1}{5}$
$\text{Probability of getting 5 on the dice}=\frac{1}{5}$

$\text{So, the probability of each outcome}=\frac{1}{5}$

∴ Probability of either getting 1 or 2 or 3 or 4 or 5 is
= Sum of all probabilities

$=\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$

$=\frac{1+1+1+1+1}{5}$

$=\frac{5}{5}$

$=1$