Question

20 multiple choice 5 points use the venn diagram showing the number of kids owning bicycles (a) and skateboards (b) to find the following probabilities. bicycle skateboard ryan joe brett sarah mike juan mariko linda tobi nina rose dion amy gabe abi find p (a ∪ b). 4/15 3/15 8/15 12/15

Explanation:

Step1: Count total kids

Total kids: Bicycle (5) + Overlap (4) + Skateboard (3) + Outside (3) = 5 + 4 + 3 + 3 = 15.

Step2: Count \( A \cup B \)

\( A \cup B \): Bicycle only (5) + Overlap (4) + Skateboard only (3) = 5 + 4 + 3 = 12.

Step3: Calculate probability

\( P(A \cup B) = \frac{\text{Number in } A \cup B}{\text{Total}} = \frac{12}{15} \).

Answer:

\(\frac{12}{15}\) (or simplified as \(\frac{4}{5}\), but the option given is \(\frac{12}{15}\))