A group of freshmen at a local university consider joining the equestrian team. Thirty‑five percent of students choose Western riding, 45 % choose dressage, and 50 % choose jumping. Fifteen percent choose both dressage and jumping, while 10 % choose Western and dressage. No one chooses Western and jumping. There are no horses suitable for two styles, and each student is assigned to one horse.

If five students decide to join the team, what is the probability that at least one student joins the dressage team?

A. 0.0185
B. 0.9497
C. 0.0412
D. 0.0503

Walgreens sells both kleenex and nyquil. in a random sample of 5000 purchases, it was found that 1200 contained kleenex and 540 contained nyquil. these are not independent because sick people are more likely to buy both and healthy people more likely to buy neither. in looking into that, it was found that 360 purchases contained both. a. make a two-way table to display this information. fill in the table with the missing entries, and be sure your table has row and column totals. b. if we randomly select a purchase that contained kleenex, what is the probability it also contained nyquil? c. what percent of all purchases didn’t contain either product?