Hello students, Previously we have discussed about exponential growth and decay and in this section we are going to learn about the impossible event which comes under cbse 11th syllabus. Impossible events are those types of events that have zero probability of occurring. It can be shown like this: - Pr (A) = 0, where ‘A’ is an event. Zero means no size, magnitude, or quantity. We know that zero is neither positive nor negative while it is the additive identity. The simple means of impossible events is an event that will not happen.

Impossible events probability can be understand by the following example.

Example 1: - In a single toss of die, what is the probability of getting a number 8?

Solution: - We know that in tossing a coin, 8 will never come up.

So, getting 8 is an impossible event.

P (getting 8 in a single throw of a die) = 0 / 6 = 0.

Thus, in this example the probability of an impossible event is zero.

Impossible events are the reverse of the possible events.

The sum of the sure event's probability and impossible event's probability is 1. Where the probability of impossible events is zero and the probability of sure event is 1.

Example 2: - Suppose you have a bag of 10 balls then what is the probability of drawing a toffee?

Solution: - Probability (E) = 0 or P (E) = 0.

The bag only contains balls but it does not contain any type of toffee. So it is impossible to draw the toffees from the bag.

Probability (toffee) = 0 / 10 = 0,

Therefore, the probability of drawing a toffee is zero.

So at last it is specified that an event that has no chance of occurring is called the impossible events. Every event that has zero probability of occurring is known as impossible events.