Symbolic Probability

P(Soda) =

• 200/400

• 158/400

• 50/200

• 120/200

P(Pizza ∩ Water) =

• 62/182

• 120/400

• 58/400

• 140/400

P(Pizza ∪ Water) =

• 182/400 + 140/400 - 58/400

• 182/400 + 140/400 - 0

• 58/400 + 140/400 -182/400

• 182 + 140 - 58

Which of the following is the symbolic representation of "the probability of a fan ordering a hot dog or a soda"?

• P(HD ⋃ S)

• P(HD ∩ S)

• P(HD) + P(S)

• P(HD)*P(S)

What is the probability of the balloon color not being red?

• P(red^c) = 0.75

• P(red) = 0.25

• P(green or purple or yellow) = 0.75

• P(red^c) = 0.25

What is the “Complement” equation? (4.2)

• P = P (A) - P (B)

• P (Aᶜ ) = 1 - P (A)

• P (A and B) = P (A) + P (B)

Which equation do you use when both events are mutually exclusive? (4.2)

• P (B) = P (A * B)

• P = P (A) * (B) - P (AB)

• P (A or B) = P (A) + P (B)

• P (A or B) = P (A) - P (B)

P (A) = 0.12 and P (B) = 0.32. Find P (A or B). Assume that the events are mutually exclusive. (4.2)

• 1. P (A or B) = 0.384

• 1. P (A or B) = 38.4%

• P (A or B) = 0.44

• 1. P (A or B) = 44%

What equation do you use when the events are not mutually exclusive? (4.3)

• P (A or B) = P (AB) - P (A+B)

• P (A or B) = P (A) + P (B)

• P (A or B) = P (A) + P (B) - P (A and B)

If P (A or B) ≠ P (A) + P (B), are the events mutually exclusive?

• Yes

• No