Question

question 7
10 pts
the \at least once rule\ for event a in \\(n\\) trials can be found by using the following formula, true or false?

p(at least one) = 1 - p(no a in \\(n\\) trials)

true
false

Explanation:

Identify the given formula

The statement presents the formula:

$$ P(\text{at least one}) = 1 - P(\text{no } A \text{ in } n \text{ trials}) $$

Analyze the complement relationship

The event "at least one occurrence of event \(A\)" is the exact complement of the event "no occurrences of event \(A\)" in \(n\) trials.

Evaluate the truth value

Since the sum of the probabilities of complementary events is always \(1\), the formula is mathematically correct.

Answer:

• True (Correct answer)
• False