Question

1. using the venn diagram shown, find: probability = \\(\frac{14}{43}\\) 5 great job! 6b \\(p(b)\\) probability = \\(\frac{28}{43}\\) 5 great job! 6c \\(p(\text{not } a)\\) probability = enter your next step here

Explanation:

Step1: Recall the complement rule

The probability of the complement of an event \( A \), denoted \( P(\text{not } A) \), is given by \( P(\text{not } A)=1 - P(A) \). From part 6a, we know \( P(A)=\frac{14}{43} \).

Step2: Calculate \( P(\text{not } A) \)

Substitute \( P(A) \) into the formula: \( P(\text{not } A)=1-\frac{14}{43} \). First, write 1 as \( \frac{43}{43} \), then subtract: \( \frac{43}{43}-\frac{14}{43}=\frac{43 - 14}{43}=\frac{29}{43} \).

Answer:

\(\frac{29}{43}\)