1. No, 6 of the 500 polled are women who like Five Guys.

  2. \(P(\)In-N-Out given M\() = 162/248 = 0.6532258\) or 65.3%

  3. \(P(\)In-N-Out given F\() = 181/252 = 0.718254\) or 71.8%

  4. It’s reasonable to assume that the two are independent, as a man and woman dating could just happen to like the same burger place. In that case, we can simply multiply the two per the Multiplication Rule: \((162/248) * (181/252) = 0.469182\) or 46.9%

  5. \(P(\)F or Umami\() = (252 + 6 - 1)/500 = 0.514\) or 51%. The probability that a randomly chosen person is a woman is 252/500, and the probability that a randomly chosen person likes Umami Burger is 6/500, but there is exactly one instance of an overlap, where 1 woman likes Umami Burger, so we have to subtract that so we don’t count that person twice.