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Fourteen of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not​ defective?

Verified Answer :

RioTheNinja

P(non-defective) = 43/50
First, you subtract 14 from 100 to get the number of non-defective video recorders.
Then, you reduce the fraction of 86/100 to 43/50.

What is the probability?

  • The probability is a measure of the likelihood of an event to occur.
  • P(A) is the probability of an event, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
  • The probability that a randomly selected item is not defective is P(A) = n(A)/n(S).

We are given that a total of 100 digital video recorders​ (DVRs) out of these 14 are defective.

The probability of randomly select an item that is defective,

P(A) = n(A)/n(S)

P(A) = 14/100

P(A) = 7/50

The probability of randomly selecting an item that is not defective,

P(A) = 1-(7/50)

P(A) = (50-7)/50

P(A) = 43/50

Hence, the probability of randomly selecting an item that is not​ defective is 43/50.

Learn more about probability at https://brainly.com/question/10720683

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