Question

1. an individual is chosen from the group. according to the venn diagram, (venn diagram with two circles, one labeled (partially visible) with 10 in the non - overlapping part, 9 in the overlapping part, and the other circle with 9 in the non - overlapping part)

1a what is the probability that the person runs? = \frac{19}{28}
1b if the person chosen has been recorded as running, what is the probability that they also walk? = enter your next step here

Explanation:

Step1: Identify running group size

From 1a, total in running (run only + both) is \(10 + 9 = 19\).

Step2: Identify both running and walking

The overlap (both run and walk) is \(9\).

Step3: Calculate conditional probability

Conditional probability \(P(\text{walk}|\text{run})=\frac{\text{both run and walk}}{\text{total running}}=\frac{9}{19}\).

Answer:

\(\frac{9}{19}\)