Question

Write the probability of getting each number top face when a die was rolled in the following table and find the sum of the probabilities of all outcomes.

Answer 1

(a) Out of six possibilities only once the number $4$ occurs hence probability is $\frac{1}{6}$. Similarly we fill the remaining

Outcome	1	2	3	4	5	6
Probability (P)				1/6

(b) The sum of all probabilities
$P\left(1\right)+P\left(2\right)+P\left(3\right)+P\left(4\right)+P\left(5\right)+P\left(6\right)$
$=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=1$