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lilavasa
1 month ago
10

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]1 month ago
3 0

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.

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I appreciate you giving me the opportunity to answer your question. I enjoy assisting others as much as I can, so feel free to reach out if my responses are helpful to you. It really matters to me to know that my contributions support someone in the community who is seeking help. If you require additional assistance, you can send me a PM! I do receive many PMs, so it might take some time for me to reply; I apologize for any delays. Thank you for taking the time to read this, and I wish you a wonderful day! ~ brainily user, Lillyxrose
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