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A rocket being launched has three engines that are independent of each other. The probability of an engine firing is 0.97. What is the probability of at least one engine not firing? PLEASE HELP

2 Answers

4 votes

Final answer:

The probability of at least one engine not firing is 8.73%.

Step-by-step explanation:

To find the probability of at least one engine not firing, we can use the complement rule. The probability of at least one engine not firing is equal to 1 minus the probability that all three engines fire.

Since the engines are independent, the probability that all three engines fire is equal to the product of their individual probabilities of firing. So, the probability of at least one engine not firing is 1 - (0.97 * 0.97 * 0.97). This simplifies to 1 - 0.912673, which is approximately 0.087327, or 8.73%.

User Jinu
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7.4k points
1 vote

Answer:

.0873

Step-by-step explanation:

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