of the students at Wayland High School in
he first quarter, 48% made honor roll, 30%
had perfect attendance, and 25% both
made the honor roll and had perfect
attendance. If a student is chosen at
andom, what is the probability that they
have perfect attendance, given they made
he honor roll?

Respuesta :

Using conditional probability, it is found that there is a 0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

  • P(B|A) is the probability of event B happening, given that A happened.
  • [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Student made the honor roll.
  • Event B: Student has perfect attendance.

The probabilities are given by:

[tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]

Hence the conditional probability is given by:

[tex]P(B|A) = \frac{0.25}{0.48} = 0.521[/tex]

0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.

More can be learned about conditional probability at https://brainly.com/question/14398287

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