Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The

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Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The

probability that the student has a driver’s license is 0.30. The probability that the student is a senior or has a driver’s license is 0.36. What is the probability that the student is a senior and has a driver’s license?

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-02-28T11:30:50+03:00

Answer: La probabilidad que necesitamos es 0.16.

Step-by-step explanation:

Se nos proporciona que

La probabilidad de que el estudiante sea un senior = 0.22

La probabilidad de que el estudiante tenga una licencia de conducir = 0.30

La probabilidad de que el estudiante sea un senior o tenga una licencia de conducir = 0.36

Buscamos la probabilidad de que el estudiante sea un senior y tenga licencia de conducir.

Según la pregunta,

$P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\\P(S\cap D)=0.22+0.30-0.36\\\\P(S\cap D)=0.16$

Por lo tanto, la probabilidad que necesitamos es 0.16.