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A computer program consists of two blocks written independently by two different programmers. The first block has an error with probability 0. 2. The second block has an error with probability 0. 3. If the program returns an error, what is the probability that there is an error in both blocks?.

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

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