NCERT Solutions for Class 11 Maths Exercise 16.3

The first sentence from CBSE Maths class 11th clearly described what an impossible event is. Simply as the name suggests it is an event from sample space that never going to occur. This is an empty set and denoted by sign ∅ taken from non-empty sample space S.

You can understand it by this illustration – you have rolled the dice to count how likely you will receive a multiple 3. You get 2/6 as the ratio. But when you will count how likely you will get 7 when you roll, it is impossible event.

You cannot get any outcome that satisfies the event. No matter how many times you roll. If it is an impossible event then it will be denoted as E = ∅. On the other hand, the result you received can be counted as the sure event because you wanted it and you get it, it doesn’t matter how many times you had to roll the dice. Impossible event and sure event are the extreme points of probability range.

Once you understand these two-coin tossed experiments, it will be much easier for you to understand the three-coin experiments for complementary events. The entire NCERT exercise 16.3 seem much easier to comprehend.

However, one must spend some real quality time practicing these special characters or symbols started from complementary events. Most of the questions in exercise 16.3 are based on the fact of complementary events.

The next topic of the Axiomatic approach to probability in Mathematics is all about complex terms and the use of symbols to define logic. Being last exercise 16.3 you will solve 21 questions which will include all the other concepts that you solved previously.

Questions in Exercise 16.3 are easy to solve and direct application of probability. If a student can distinguish the event, questions are much easier for him.