Let's complete the table, first, GM
One thing to notice is that it's actually easier to imagine 1000 persons sampled.....that will eliminate the decimals (in some cases)
Female Male Total
Hybrid 685 - 298 = 387 685 * .435 ≈ 298 1000 - 315 = 685
Not Hybrid 315* (.516) ≈ 163 315 -163 = 152 315
Total 550 450 1000
a) P ( hybrid car ) = 685/ 1000 = 68.5%
b) P (hybrid given male ) = 298 / 685 = 43.5%
c) P (male) = 450/1000 = 45%
d) P (hybrid or male) = P(hybrid) + P(male) - P(hybrid and male) =
(685 + 450 - 298) /1000 =
837 / 1000 = 83.7%
e) P (hybrid and male) = 298/1000 = 29.8%
Do you see how I got those answers???.....that's the important thing....