Question

Determine whether the events are independent or dependent. Then find the probability. When Ramon plays basketball, he makes an average of two out of every three foul shots he takes. What is the probability that he will make the next three foul shots in a row?

Name: Problem 35, Chapter 12: Algebra 2
Uploaded: 2020-04-04T12:03:49-08:00
Duration: 1 min 5 s
Channel: Charles Carter
Description: Determine whether the events are independent or dependent. Then find the probability. When Ramon plays basketball, he makes an average of two out of every three foul shots he takes. What is the probability that he will make the next three foul shots in a row?

   Determine whether the events are independent or dependent. Then find the probability.
When Ramon plays basketball, he makes an average of two out of every three foul shots he takes. What is the probability that he will make the next three foul shots in a row?

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 12, Problem 35

Instant Answer

Solved by Expert Charles Carter

04/04/2020

Step 1

This is an independent event, meaning the outcome of one event does not affect the outcome of another event. Show more…

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Determine whether the events are independent or dependent. Then find the probability. When Ramon plays basketball, he makes an average of two out of every three foul shots he takes. What is the probability that he will make the next three foul shots in a row?

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Key Concepts

Independent Events

Independent events are events where the outcome of one does not affect the outcome of the other. In probability, if the occurrence of one event does not influence the likelihood of the other event, they are considered independent. This concept is crucial when calculating the probability of multiple events happening in a sequence, as each event's probability remains constant regardless of other events.

Multiplication Rule for Independent Events

The multiplication rule states that if several events are independent, the probability of all of them occurring together is the product of their individual probabilities. This rule is typically used in situations where repeated trials take place under the same conditions, allowing the overall probability to be determined by multiplying the probabilities of success for each trial.

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