Q1. Use the classical definition to find the probability of the following event: Rolling a fair die once and getting a number less than 2. Express your answer as a decimal rounded to one decimal place.

Solution

Q 1. U se t h e c l a ss i c a l d e f ini t i o n t o f in d t h e p ro babi l i t y o f t h e f o ll o w in g e v e n t : R o ll in g a f ai r d i e o n ce an d g e tt in g a n u mb er l ess t han 2. E x p ress yo u r an s w er a s a d ec ima l ro u n d e d t o o n e d ec ima l pl a ce .

\frac{1}{6}

Decimal

0.16666 \dots

Solution steps

The possible outcomes when \mathrm{a die is rolled} is

{1, 2, 3, 4, 5, 6} .

Therefore, the number of possible outcomes:

6

The number of favorable outcomes of \mathrm{getting a number less than 2}:

1

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{1}{6}