Name: Testing independence: solution walkthrough
Uploaded: 2026-11-13
Duration: 2 min 2 s
Description: Of 200 club members, 60 play chess (event C), 90 read science fiction (event S), and 27 do both. Which statement… Try it, then watch the animated solution.

Common Core: S-CP.4

Problem 22 of 45s12-022

Of 200 club members, 60 play chess (event $C$ ), 90 read science fiction (event $S$ ), and 27 do both. Which statement correctly decides whether $C$ and $S$ are independent?

Answer choicesANo, since

P(C \text{ and } S) = 0.135 \ne P(C) = 0.30

BYes, since

P(C \mid S) = 0.30 = P(C)

CNo, since

P(S \mid C) = 0.45 \ne P(C) = 0.30

DNo, since

27

members are in both groups, so the events overlap

Try it first

The walkthrough opens once you check an answer.

Solution walkthrough2:02