3. Give two examples cach for
the following
(1) Sure events
(ii) Impossible events
(iii) Equally likely events
(iv) Not equally likely events
Plz answer it fast
Answers
For example; if we throw a die, then the sample space, S = {1, 2, 3, 4, 5, 6}. Now the event of 2 appearing on the die is simple and is given by E = {2}.
In other words,
If an event E consists of only one outcome of the experiment then it is called an elementary event.
For example:
In tossing a coin, E = event of getting a head, F = event of getting a tail are both elementary events.
In throwing a die,
A = event of getting 5, is an elementary event while
B = event of getting an even number, is not an elementary event because its favourable outcomes are 2, 4, 6 (three outcomes).
For example; if we throw a die, having S = {1, 2, 3, 4, 5, 6}, the event of a odd number being shown is given by E = {1, 3, 5}.
Odd in favor of an event A is defined as; number of favorable events/number of unfavorable events.
Similarly, odds against an event A = number of unfavorable events/number of favorable events.
For example, in throwing a die, the event of getting a natural number less than 7 is a sure event.
Hey dea☺️
Answer:
1) A sure event is an event, which always happens. For example ,it's a sure event to obtain a number between 1 and 6 when rolling an ordinary die. The probability of a sure event has the value of 1. The probability of an impossible event has the value of 0.
2) Impossible Event. An impossible event is an event that cannot happen. E is an impossible event if and only if P(E) = 0. In flipping a coin once, an impossible event would be getting both head and a tail.
3) Equally Likely Events. Equally likely events are events that have the same theoretical probability (or likelihood) of occurring. Each numeral on a die is equally likely to occur when the die is tossed.
4) Sometimes the outcomes in a probability experiment are not equally likely. For instance, in the spinner below, the outcomes blue and yellow are equally likely because they represent the same area on the spinner, but the outcome red is twice as likely because it occupies twice as much area as either blue or yellow.
THIS MIGHT HELP ❤️