1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marissa [1.9K]
3 years ago
6

Because of a mistake in​ packaging, a case of 16 bottles of wine contained 9 of brand A and 7 of brand​ B, each without labels.

All the bottles look alike and have an equal probability of being chosen. Five bottles are randomly selected. ​(a) What is the probability that all five are brand​ A? ​(b) What is the probability that exactly two areare brand​ A? ​(c) What is the probability that none is brand​ A?
Mathematics
1 answer:
attashe74 [19]3 years ago
7 0

Answer:

a) The probability that all five are brand​ A is 0.0288

b) The probability that exactly two bottles are brand​ A is 0.0288

c) The probability that none of the bottles is brand​ A is 0.0048

Step-by-step explanation:

We have 9 bottles of brand A and 7 bottles of brand B.

The total of bottles is 16.

a) The probability that all five bottles are brand​ A is given by:

P(5A)=\frac{9}{16} \frac{8}{15}\frac{7}{14}  \frac{6}{13} \frac{5}{12}=\frac{3}{104}=0.0288

b) Since we have 9 bottles of brand A we calculate the probability of picking two brand A bottles and the we calculate the probability of picking 3 brand B bottles:

P(2A3B)=\frac{9}{16} \frac{8}{15}\frac{7}{14}  \frac{6}{13} \frac{5}{12}=\frac{3}{104}=0.0288

c) The probability that none of the bottles is brand​ A is the same as picking 5 brand B bottles:

P(5B)=\frac{7}{16} \frac{6}{15}\frac{5}{14}  \frac{4}{13} \frac{3}{12}=\frac{1}{208}=0.0048

You might be interested in
Can someone please help. Please show work
FinnZ [79.3K]

Answer:

11. parallelogram, rectangle

12. parallelogram, rhombus

13. parallelogram, square

5 0
3 years ago
Read 2 more answers
How do i find the scale factor of
astraxan [27]
If you’re looking for x it would be -4/3
8 0
3 years ago
Elena has some bottles of water that each holds 17 fluids ounces.
stiks02 [169]

Answer:

W=17

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help with this problem and show your work plz thanks
coldgirl [10]
Well is just their sum, thus

\bf \cfrac{3}{4}+\cfrac{2}{3}\impliedby \stackrel{LCD~is}{12}\implies \cfrac{(3)3+(4)2}{12}\implies \cfrac{9+8}{12}\implies \cfrac{17}{12}\implies 1\frac{5}{12}
5 0
3 years ago
Solve for x.<br> ­a = bx<br> A) (­-b)\a<br> B) b -­ a<br> C) (­-a) + b<br> D) (­-a)/b
Andreyy89
I doubt the options you've mentioned here.
The correct answer should be x=a/b
3 0
3 years ago
Other questions:
  • The listing Pagoda of Phan-ling is leaning 5 feet off center . Every 25 years, The pagoda leans an additional foot. It will coll
    11·2 answers
  • Study the table. x y –2 8 –1 2 0 0 1 2 2 8 Which best describes the function represented by the data in the table?
    13·1 answer
  • What is the actual distance between Gendet and Montrose PLEAZZZE HELP
    9·1 answer
  • Create an equation that has exactly one real solution. 6(3x+4)-x=_x+3
    10·1 answer
  • Given the Arithmetic sequence A1,A2,A3,A4 28, 33, 38, 43 What is the value of A11?
    10·2 answers
  • Of the 10 people attending a seminar, 2 have red hair.
    12·2 answers
  • Does anyone know what would be the equation for this Emily has $250 in her savings account. She plans to save $15 per week from
    5·2 answers
  • Jackie spent the same amount of money on cassette tapes and compact discs. If tapes cost $12 and CDs cost $16, what is the least
    14·1 answer
  • Please help! im so confused.
    6·1 answer
  • How many times can a quart bottle be filled from a gallon jug?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!