Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, what is the probability that all of them voted in the previous national election? 0.20 0.17 0.06 ) 0.42 0.07

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**Question:**

Statistics show that about 42% of Americans voted in the previous national election.

If three Americans are randomly selected, what is the probability that **all** of them voted in the previous national election?

**Options:**

- 0.20
- 0.17
- 0.06
- 0.42
- 0.07

**Explanation:**

This problem is asking for the probability that all three selected Americans voted, given that the voting rate is 42%. Assuming independence, the individual probability for each person voting is 0.42. Therefore, the probability that all three voted is \(0.42 \times 0.42 \times 0.42\).

**Solution:**

Calculate \(0.42^3\).

The correct answer is 0.06.
Transcribed Image Text:**Question:** Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, what is the probability that **all** of them voted in the previous national election? **Options:** - 0.20 - 0.17 - 0.06 - 0.42 - 0.07 **Explanation:** This problem is asking for the probability that all three selected Americans voted, given that the voting rate is 42%. Assuming independence, the individual probability for each person voting is 0.42. Therefore, the probability that all three voted is \(0.42 \times 0.42 \times 0.42\). **Solution:** Calculate \(0.42^3\). The correct answer is 0.06.
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