Question

1. Organizers of a three-day conference are considering food items for lunch. The two available options...

1. Organizers of a three-day conference are considering food items for lunch. The two available options are either fish or meat. Set up a set as the sample space for all possibilities. How would the set change if the organizers insist that the same food item not be served on two consecutive days?

2.

The union of events A and B make up the whole sample space Ω. If PA=.6 and PB=.8, find the probability of

(a) the event of all the possibilities that A shares with B.

(b) the event of those possibilities that are exclusively A’s.

(c) the events whose possibilities are either those of A’s or those of B’s that it does not share with A.

3.

Trincas Tours offers three add-ons to their holiday packages: meals (M), sightseeing trips (S), and theater visits (T). Past records show that 31 percent of clients chose only meals, 18 percent only sightseeing, and 7 percent only theatre. Nine percent chose all three options. Eleven percent chose meals and sightseeing only, 8 percent chose sightseeing and theatre only, and 7 percent chose meals and theater only. What is the probability that a client

(a) chooses exactly two options?

(b) chooses one or more options excluding theatre?

(c) refuses all options?

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