The probability that the bulb is working is 0.92. A customer in a store chooses
| August 13, 2021 | education
The probability that the bulb is working is 0.92. A customer in a store chooses a random package containing two of these bulbs. Find the likelihood that both bulbs will be defective.
If the probability that the bulb is working is 0.92, then the probability that the bulb is defective is 1-0.92 = 0.08.
The condition of one light bulb in a package is independent of the condition of the second light bulb in that package. This means that the probability that both are defective is equal to the product of the probability that the first is defective by the probability that the second is defective. Those. P = 0.08 * 0.08 = 0.0064.
Answer: The probability that both bulbs will be defective is 0.0064.
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