Question

Consider the two-way table below.

A 4-column table has 3 rows. The first column has entries A, B, total. The second column is labeled C with entries 15, 9, 24. The third column is labeled D with entries 21, 25, 46. The fourth column is labeled Total with entries 36, 34, 70.

Find P(B|C).

P(B|C) = StartFraction 9 Over 34 EndFraction = 0.26
P(B|C) = StartFraction 9 Over 24 EndFraction = 0.38
P(B|C) = StartFraction 9 Over 70 EndFraction = 0.13
P(B|C) = StartFraction 9 Over 58 EndFraction = 0.16

Answer 1

P(B|C) = P(B and C) / P(C) = 9 / 24 = 3/8 ≈ 0.38.