The document explains the concepts of impossible and sure events in probability for 11th grade. It defines an impossible event as the empty set, illustrated by the event of rolling a multiple of 7 on a die, while a sure event encompasses the entire sample space, such as rolling an odd number. It also provides contact information for tutoring services offered by Dhruv Sethi.

1. Maths topic for
Probability:
Impossible and
sure events
By Dhruv Sethi;
dhrsethi1@gmail.com/+91 9310805977
11th Grade

2. Impossible and sure events
• The empty set and the sample space S are two subsets of S.
• The empty set is called an impossible event.
• The entire sample space S is called the sure event

3. Impossible events
• For an example, let us consider the rolling of a die. The associated sample
space is
S = {1, 2, 3, 4, 5, 6}
• Let E be the event “The number appears on the die is a multiple of 7”
• Clearly, no outcome satisfies the condition given in the event E. Thus the
empty set only corresponds to the event E.
• Therefore we say the event E is an impossible event

4. sure events
• Let’s take another event F: “The number turns up is odd or event”
• Therefore F = {1, 2, 3, 4, 5, 6}
• Thus the event F=S is called a sure event

5. types of events
• You can contact me for private or group tuitions from the details below
• By Dhruv Sethi: +91 9310805977/dhrsethi1@gmail.com
• Whatsapp: +91 8291687783