Respuesta :
Using probability of independent events, it is found that there is a 0.06 = 6% probability that there is an error in both blocks.
What are independent events?
- Independent events are events in which one happening has no effect on the other happening.
- If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, the events are:
- Event A: Error on the first block, with 0.2 probability, hence [tex]P(A) = 0.2[/tex].
- Event B: Error on the second block, with 0.3 probability, hence [tex]P(B) = 0.3[/tex].
The probability that there is an error in both blocks is:
[tex]P(A \cap B) = P(A)P(B) = 0.2(0.3) = 0.06[/tex]
0.06 = 6% probability that there is an error in both blocks.
To learn more about probability of independent events, you can take a look at https://brainly.com/question/25715148