Question

1. using the venn diagram shown, find: 6a ( p(a) ) probability = enter your next step here

Explanation:

Step1: Find total number of elements

First, we calculate the total number of elements in the universal set. The elements in set A only is 6, in the intersection (A ∩ B) is 8, in set B only is 20, and outside both sets is 9. So total \( N = 6 + 8 + 20 + 9 = 43 \).

Step2: Find number of elements in set A

The number of elements in set A is the number of elements in A only plus the number in the intersection. So \( n(A) = 6 + 8 = 14 \).

Step3: Calculate \( P(A) \)

Probability \( P(A) \) is the number of elements in A divided by the total number of elements. So \( P(A)=\frac{n(A)}{N}=\frac{14}{43} \).

Answer:

\(\frac{14}{43}\)