A college student frequents one of two coffee houses on campus, choosing Starbucks90% of the time and Peet's10% of the time. Regardless of where she goes, she buys a cafe mocha on70% of her visits.

(a) The next time she goes into a coffee house on campus, what is the probability that she goes to Starbucks and orders a cafe mocha? (Enter your answer to two decimal places.)

(b) Are the two events in part (a) independent? Explain.

Yes, because the probability that the student orders a cafe mocha is 0.7 regardless of whether the student visits Starbucks or Peet's.

No, because the probability that the student orders a cafe mocha depends on whether the student visits Starbucks or Peet's.

(c) If she goes into a coffee house and orders a cafe mocha, what is the probability that she is at Peet's?

(d) What is the probability that she goes to Starbucks or orders a cafe mocha or both? (Enter your answer to two decimal places.)