Probability of Mutually Exclusive Events with solved Examples | SHS 2 CORE/ ELECTIVE MATH

SHS 2 MATH | Probability of Mutually Exclusive Events with solved Examples |Lesson 7

In todays video, we are going to talk about the topic probability.
Probability is the likelihood of an event to occur, or not to occur.
Given that A is an event, the probability of A is:
P(A) = n(A)/n(S)
S = the sample space, it is the set of all the possible outcomes on an experiment.

Simple experiment: a single performance of an experiment
Compound experiment: Combination of two or more simple experiments.
Compound events are formed from the joining words "and" or "or".
A u B - A or B or Both occur
A u B - Both A and B occur simultaneously
P(A u B) = P(A) + P(B) - P(A n B)

Events A and B are mutually exclusive if A and B do not occur simultaneously, hence A n B = an empty set; P(A n B) = 0
therefore the additive law becomes;
P(A u B) = P(A) + P(B)

[sudipgaming]

Can you please solve this with in a 30 minutes
x and y are two mutually exclusive event p(x)=(1)/(8) and p(y)=(5)/(24) then find the probability of p(x u y) and p(x u y) whole complement

[noraankutsia]

How would you know that it is a mutually exclusive event?