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practice testMultiple Choice

Practice Test

Question 4 • Algebra II

A certain dog can catch a properly thrown tennis ball with a probability of 0 point 9 5 Unfortunately, this dog has dropped the last six properly thrown tennis balls. The owner explains that the next throw has to be caught by the dog because he never misses this many. Is the owner’s reasoning correct?

Answer
A
Yes, the dog catches 95 percent of properly thrown tennis balls, so the next one must be caught to compensate for the previous misses.
B
Yes, the dog has missed the last six properly thrown tennis balls, so the next one thrown will be caught.
C
No, the dog is on a losing streak, so he will drop the next ball thrown.
D
No, the probability of the dog catching a properly thrown tennis ball is 0 point 9 5 over the long run, so the owner cannot say what will happen on the next throw.

Explanation

Each properly thrown ball is a new event, and the dog’s chance of catching it remains 0.95, or 95%, regardless of the previous throws. The six drops do not make a catch certain on the next throw; the dog could still drop it. The owner is right that the dog catches 95% over the long run, but that does not determine what happens on this particular throw, so D is correct.

AI-written and checked against the verified answer.

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