Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event

Question

2 months ago

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Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event

that the person has gone surfing, and let B be the event that the person has gone snowboarding. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.16. A and B are independent events because P(A∣B) = P(A) = 0.75. A and B are not independent events because P(A∣B) = 0.16 and P(A) = 0.75. A and B are not independent events because P(A∣B) = 0.75 and P(A) = 0.16.

Mathematics

2 answers:

Svet_ta [12.7K] · Answer 1 · 2026-03-09T22:50:37+03:00

Svet_ta [12.7K]2 months ago

7 0

Answer:

Event A and event B are independent since P(A∣B) equals P(A), which is 0.16.

Step-by-step explanation:

edge 2020

tester [12.3K] · Answer 2 · 2026-03-09T22:47:47+03:00

Answer:

$\text{A and B are independent events}, P(A|B)=P(A)=0.16$

Step-by-step explanation:

To establish independence between two events, we must understand the concept of independence:

Events are deemed independent if $P(A|B)=P(A)$ , which means that the occurrence of one does not influence the probability of the other event.

In this situation, the only selection that aligns with the independence criterion is $P(A|B)=P(A)=0.16$ . Other options do not comply with the independent events definition.