Probability Question 200
Two coins are tossed. Let A be the event that the first coin shows head and B be the event that the second coin shows a tail. Two events A and B are independent
[MP PET 1989]
Options:
A) Mutually exclusive
B) Dependent variable
C) Independent and mutually exclusive
D) They are basically independent.
Show Answer
Answer:
Correct Answer: D
Solution:
That’s correct! In probability theory, two events are said to be mutually exclusive if they cannot both occur at the same time.
If event A and event B are mutually exclusive, it means that if A occurs, then B cannot occur, and vice versa.
This is represented as $A∩B=ϕ$ , which means the intersection of A and B is an empty set.
So, your statement is correct: A and B are mutually exclusive events.
BETA
