Question

use the frequency table to compute the following. probability of choosing warp ventures as a favorite park: ( p(a) = ) probability of choosing a water slide as a favorite ride: ( p(b) = ) probability of choosing warp ventures as a favorite park and choosing a water slide as a favorite ride: ( p(a and b) = )

Explanation:

Step1: Calculate \( P(A) \)

Probability formula: \( P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).
Number of people who chose Warp Ventures as favorite park \( = 61 \).
Total number of people \( = 268 \).
\( P(A)=\frac{61}{268} \).

Step2: Calculate \( P(B) \)

Number of people who chose water - slide as favorite ride \( = 96 \).
Total number of people \( = 268 \).
\( P(B)=\frac{96}{268}=\frac{24}{67} \).

Step3: Calculate \( P(A\cap B) \)

Number of people who chose Warp Ventures as favorite park and water - slide as favorite ride \( = 24 \).
Total number of people \( = 268 \).
\( P(A\cap B)=\frac{24}{268}=\frac{6}{67} \).

Answer:

\( P(A)=\frac{61}{268}\), \( P(B)=\frac{24}{67}\), \( P(A\cap B)=\frac{6}{67}\)