Question

let not x be the event that the selected ball is not white, and let ( p(\text{not } x) ) be the probability of not x.
(a) for each event in the table, check the outcome(s) that are contained in the event. then, in the last column
(b) subtract.
( 1 - p(x)=\frac{3}{5} )
(c) select the answer that makes the sentence true.
( 1 - p(x) ) is the same as select

Explanation:

Step1: Understand the concept of complementary events

In probability, for an event \(X\) and its complement \(\text{not }X\), the sum of their probabilities is \(1\). That is \(P(X)+P(\text{not }X) = 1\).

Step2: Rearrange the formula

From \(P(X)+P(\text{not }X)=1\), we can solve for \(P(\text{not }X)\) by subtracting \(P(X)\) from both sides of the equation. So \(P(\text{not }X)=1 - P(X)\).

Answer:

\(1 - P(X)\) is the same as \(P(\text{not }X)\)