. A couple is ordering a four-course dinner at a restaurant. They may choose from 4 amuse- bouche, 6 starters, 10 entrées and 5 desserts. Assume that the couple order two amuse- bouche each, a starter each, an entrée each and a dessert each. i. How many different meal combinations can the couple order? ii. What is the probability that they order different starters, different entrées and different desserts? iii. What is the probability that they order either the same starter (and different amuse- bouche, entrées and desserts) or the same entrée (and different starters, amuse- bouche and desserts)?

A First Course in Probability (10th Edition)
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b. A couple is ordering a four-course dinner at a restaurant. They may choose from 4 amuse-
bouche, 6 starters, 10 entrées and 5 desserts. Assume that the couple order two amuse-
bouche each, a starter each, an entrée each and a dessert each.
i. How many different meal combinations can the couple order?
ii.
What is the probability that they order different starters, different entrées and
different desserts?
iii. What is the probability that they order either the same starter (and different amuse-
bouche, entrées and desserts) or the same entrée (and different starters, amuse-
bouche and desserts)?
Transcribed Image Text:b. A couple is ordering a four-course dinner at a restaurant. They may choose from 4 amuse- bouche, 6 starters, 10 entrées and 5 desserts. Assume that the couple order two amuse- bouche each, a starter each, an entrée each and a dessert each. i. How many different meal combinations can the couple order? ii. What is the probability that they order different starters, different entrées and different desserts? iii. What is the probability that they order either the same starter (and different amuse- bouche, entrées and desserts) or the same entrée (and different starters, amuse- bouche and desserts)?
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Step 1

A four-course dinner has following options to choose from:

  1. 4 Amuse bouchée
  2. 6 starters
  3. 10 entrees
  4. 5 desserts

A couple orders 2 Amuse bouchée and a starter, entrees and dessert each.

 

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