#1 A physics class has 40 students. Of these, 14 students are physics majors and 15 students are female. Of the physics majors, five are female.

Find the probability that a randomly selected student is female or a physics major.

#2 Of the cartons produced by a company, 9% have a puncture, 7% have a smashed corner, and 1.3% have both a puncture and a smashed corner.

Find the probability that a randomly selected carton has a puncture or a smashed corner.

#3 A standard deck of cards contains 52 cards. One card is selected from the deck.

(a) Compute the probability of randomly selecting a club or diamond

(b) Compute the probability of randomly selecting a club or diamond or heart

(c) Compute the probability of randomly selecting a four or heart

#4 The table below shows the results of a survey that asked 2865 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d).

	Frequently	Occasionally	Not at all	Total
Male	222	456	793	1471
Female	202	450	744	1396
Total	424	906	1537	2867

(a) Find the probability that the person is frequently or occasionally involved in charity work.

(b) Find the probability that the person is female or not involved in charity work at all.

(c) Find the probability that the person is male or frequently involved in charity work.

(d) Find the probability that the person is female or not frequently involved in charity work