Question

let not x be the event that the wheel stops on a slice that is not white, and let p(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, enter the p (b) subtract. 1 - p(not x) = \frac{3}{10} (c) select the answer that makes the sentence true. 1 - p(not x) is the same as select

Explanation:

Step1: Recall the probability formula

The formula for the probability of an event \(A\) and its complement \(\text{not }A\) is \(P(A)+P(\text{not }A) = 1\).

Step2: Rearrange the formula

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

Step3: Substitute the events

In our case, \(A = X\). So \(P(X)=1 - P(\text{not }X)\).

Answer:

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