posted by .

1. A customer comes into Pierre's and orders a random assortment of 6 danish. At the time she comes in, there are 26 danish sitting out: 12 raspberry, 8 cheese, and 6 cinnamon. Assume the danish are not replaced.

a) What is the probability that the third and fifth danish selected for the customer's random assortment will be raspberry and the other four will not be raspberry?

b) What is the probability that the random assortment will contain at least 1 cheese danish?

2. At Pierre's Coffee Shop, 57% of customers order coffee, 24% order tea and 16% order orange juice, while 3% do not order anything to drink. In addition, 43% order a muffin, 34% order a danish and 14% order a bagel, while 9% do not order anything to eat. Finally, 26% of customers order both coffee and a danish, and 47% of people order a bagel given that they have ordered tea. Assume that an individual customer will not order more than once drink or more than one breakfast roll.

a) When the coffee shop opens, what is the probability that the first person to not order anything to eat is the fifth person to enter the shop?

b) What is the probability that a particular customer will order coffee given that he did NOT order a danish?

  • Math -

    I will do #1

    let R represent picking a raspberry, N a non-raspberry
    12R , 14N

    a) so you want: NNRNRN
    prob = (14/26)(13/25)(12/24)(12/23)(11/22)(11/21)
    = .01913

    Prob(none cheese)= (18*17*16*15*14*13)/(26*25*24*23*22*21)
    = .08063
    at least one cheese
    = 1 - .08063
    = .91936

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Micro

    Hi I have the following question - With the Estern enlargement of Europe. Danish firms can now also recruit workers from these countries. Are Danish and eastern European workers perfect substitutes?
  2. Algebra

    I am very confused about functions. I think if I could see this example, then I'll be good. f(x)=x^2 and g(x)=5x. I am supposed to find f (little circle that's used in Danish...what's it called in math terms?
  3. math

    Danish used 9 balls of clay and 16 straws to make a solid pyramid. How many faces does the solid have?
  4. history

    Who was the Danish immigrant who photographed immigrant life to make people aware of the problems immigrants faced in the United States?
  5. literature

    Why do you think the singer was an important person in Danish communities?
  6. Literature

    Why do you think the singer was an important person in Danish communities?
  7. English Hamlet

    Horatio was asked to speak to the ghost because: a. He was not afraid b. He had seen the ghost the night before c. He was a scholar d. He could speak Danish to the ghost I picked B. Is that correct?
  8. math

    the french club is hosting a breakfast each monday morning in the cafeteria. The breakfast menu is shown in the table. crepes-2 dollars croissants-3 dollars danish- 5 dollars juice- 1 dollar write an algebraic expression that can be …
  9. math

    Straub's Bakery makes 200 Danish cakes that cost $2.70 each. Straub's needs a 66% markup on cost and normally discards 10% of what it makes. At what price should Straub's sell the Danish cakes?
  10. History

    For many German speaking people the decision to redraw boundaries made at the Paris Peace Conference led to enormous changes in their citizenship and identity. Only the German speaking people in Denmark/Northern Germany were given …

More Similar Questions