Answer :
1 P(fiction | Solves Crossword Puzzles) ≈ 0.3483
2 P(fiction | Does not solve Crossword Puzzles) ≈ 0.3504
3 P(fiction) = 0.3500
1 Calculating P(fiction | Solves Crossword Puzzles):
P(fiction and solves crossword puzzles) = 70
P(solves crossword puzzles) = 201
So, P(fiction | Solves Crossword Puzzles) = 70 / 201
≈ 0.3483.
2 Calculating P(fiction | Does not solve Crossword Puzzles):
P(fiction and does not solve crossword puzzles) = 280
P(does not solve crossword puzzles) = 799
So, P(fiction | Does not solve Crossword Puzzles) = 280 / 799
≈ 0.3504.
3 Calculating P(fiction):
P(fiction) = Total who prefer fiction / Total surveyed = 350 / 1000
= 0.3500.