Question

A shipment of 100 tape recorders contains 25 that are defective. if 10 of them are randomly chosen for inspection, what is the probability that 2 of the 10 will be defective?

Answer 1

Concept Introduction:

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between $0$ and $1$ represents the likelihood of an event, with $0$ generally denoting impossibility and $1$ denoting certainty.

Given, a shipment of $100$ tape recorders contains $25$ that are defective.

To find, if $10$ of them are randomly chosen for inspection, the probability that $2$ of the $10$ will be defective.

Solution:

The probability of tape recorders being defective = $25/100 = 1/4$

The probability of tape recorders not being defective = $1- 1/4 = 3/4$

the probability that $2$ of the $10$ will be defective from the randomly chosen tapes = $(1/4 )$ ² × $( 3/4 )$ ∧$8$ = $0.0062$

Final Answer:

The final answer is $0.0062$

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