Respuesta :
Answer:
Events A and B are dependent
Step-by-step explanation:
If A and B are two events such as A and B are dependent then
P(A∩B) [tex]\neq[/tex] P(A) P(B)
An event A will occur with probability 0.4 that is [tex]P(A)=0.4[/tex]
An event B will occur with probability 0.6 that is [tex]P(B)=0.6[/tex]
[tex]P(A)P(B)=0.4(0.6)=0.24[/tex]
The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20
Therefore,
P(A∩B) [tex]\neq[/tex] P(A) P(B)
So,
events A and B are dependent
According to the given probabilities, it is found that events A and B are dependent.
What are independent events?
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, the probabilities given are:
[tex]P(A) = 0.4, P(B) = 0.6, P(A \cap B) = 0.2[/tex]
The multiplication is:
[tex]P(A)P(B) = 0.4(0.6) = 0.24[/tex]
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], the events A and B are dependent.
You can learn more about dependent and independent probabilities at https://brainly.com/question/14478923
