The following probability exercises relate to circuit components that are tested

Question

The following probability exercises relate to circuit components that are tested in a production line to check whether they're within tolerence specifications. 50% of componenents produced are resistors which have a 94% chance of being within tolerance specifications, 20% of components are inductors which have a 96% chance of being made to specification and the remaining components are capacitors which have a 98% chance of being made to specification.

What is the probabability that the first three circuit elements on the production line are all the same type of element?

Explanation / Answer

P(resistor) = 0.5

P(inductor) = 0.2

P(capacitor) = 0.3

P(first 3 elements are same type) = P(all are resistors) + P(all are inductors) + P(all are capacitors)

= 0.53 + 0.23 + 0.33

= 0.16

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