Question

Arrange the events in the increasing order (from top to bottom) of their probabilities, when a die is rolled.

• A. Getting 8
• B. Even prime no.
• C. A multiple of 3
• D. A multiple of 2
• E. No. less than 6

Answer 1

When an unbiased die is rolled the following are the possible outcomes.
S = {1, 2, 3, 4, 5, 6}
Probability = $\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

Event	Favourable outcome	Probability
Getting 8	{ } $\Rightarrow$ No favourable outcome	0
Even prime number	{2}	$\frac{1}{6}$
A multiple of 3	{3,6}	$\frac{2}{6}=\frac{1}{3}$
A multiple of 2	{2, 4, 6}	$\frac{3}{6}=\frac{1}{2}$
A number less than 6	{1, 2, 3, 4, 5}	$\frac{5}{6}$