Question

1. an archer makes two attempts to hit a target, and the probability that he hits the target on any one attempt is \\(\frac{1}{4}\\).

1a what is the probability that the archer misses the target?
\\(p(\text{miss}) = \\) enter your next step here

Explanation:

Step1: Recall the complement rule

The probability of an event and its complement (the event not happening) sum to 1. So, if \( P(\text{hit})=\frac{1}{4} \), then \( P(\text{miss}) = 1 - P(\text{hit}) \).

Step2: Calculate the probability of missing

Substitute \( P(\text{hit})=\frac{1}{4} \) into the formula: \( P(\text{miss}) = 1-\frac{1}{4}=\frac{4 - 1}{4}=\frac{3}{4} \).

Answer:

\(\frac{3}{4}\)