Bookings made at a hotel include a room plus any meal combination of breakfast (B), lunch (L)

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Bookings made at a hotel include a room plus any meal combination of breakfast (B), lunch (L) and supper (S). The Venn diagram opposite shows the number of each type of booking made by 71 guests on Friday.


a. A guest who has not booked all three meals is selected at random. Find the probability that this guest:

i. Has booked breakfast or supper.

ii. Has not booked supper, given that they have booked lunch.

b. Find the probability that two randomly selected guests have both booked lunch, given that they have both booked at least two meals.

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