Questions: Choose the correct answer below. A. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to 1-P (none of the items). B. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to 1-P (all items). C. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to P (all items) -1 . D. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to P (none of the items) -1 .

Choose the correct answer below.
A. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to 1-P (none of the items).
B. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to 1-P (all items).
C. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to P (all items) -1 .
D. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to P (none of the items) -1 .

Transcript text: Choose the correct answer below. A. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to $1-P$ (none of the items). B. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to $1-\mathrm{P}$ (all items). C. The complement of "at least one" is "all." So, the probability of getting at least one item is equal to P (all items) -1 . D. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to $P$ (none of the items) -1 .

Solution

Solution Steps

To determine the correct answer, we need to understand the concept of complements in probability. The complement of an event is the probability that the event does not occur. For the event "at least one," the complement is "none." Therefore, the probability of "at least one" is equal to 1 minus the probability of "none."

Step 1: Identify the Complement of "At Least One"

The complement of the event "at least one" is the event "none." This means that the probability of getting at least one item is equal to $1 - P(\text{none})$.

Step 2: Calculate the Probability of "At Least One"

Given $P(\text{none}) = 0.2$, we can calculate the probability of getting at least one item as follows: \[ P(\text{at least one}) = 1 - P(\text{none}) = 1 - 0.2 = 0.8 \]

Final Answer

The correct answer is A. The complement of "at least one" is "none." So, the probability of getting at least one item is equal to $1 - P(\text{none})$.

\[ \boxed{0.8} \]

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