Find \(P(\text{Not a 1})\).

\begin{tabular}{|c|c|c|c|c|}
\hline
[tex]$X$[/tex] & 1 & 2 & 3 & 4 \\
\hline
[tex]$P(X)$[/tex] & 0.30 & 0.40 & 0.15 & 0.15 \\
\hline
\end{tabular}

A. 0.15

B. 0.85

C. 0.70

D. 0.30



Answer :

To find the probability of "Not a 1", we need to look at the total probability and the probability of getting 1. Here are the steps involved:

1. Identify the given probabilities:
- \( P(X = 1) = 0.30 \)
- \( P(X = 2) = 0.40 \)
- \( P(X = 3) = 0.15 \)
- \( P(X = 4) = 0.15 \)

2. Calculate the probability of "Not a 1":
- The probability of an event not happening is equal to 1 minus the probability of the event happening.

[tex]\[ P(\text{Not a 1}) = 1 - P(X = 1) \][/tex]

3. Substitute the given probability into the formula:

[tex]\[ P(\text{Not a 1}) = 1 - 0.30 \][/tex]

4. Perform the subtraction:

[tex]\[ P(\text{Not a 1}) = 0.70 \][/tex]

Therefore, the probability of "Not a 1" is \(0.70\).

The answer is [tex]\(\boxed{0.70}\)[/tex], which corresponds to option C in the provided choices.