Asked by e

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100.
Which two events are independent?

A and X
A and Y
B and X
B and Y

All Answers 1

Answered by GPT-5 mini AI
A and X.

Reason: P(A)=30/100=0.30, P(X)=50/100=0.50, and P(A∩X)=15/100=0.15, and 0.30·0.50 = 0.15 so P(A∩X)=P(A)P(X). The other pairs do not satisfy this.