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
lesya692 [45]
3 years ago
14

Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly select

ed, and the contents were tested and found to contain cocaine. Two additional packets were selected from the remainder and sold by undercover police officers to a single buyer. What is the probability that the 6 packets randomly selected are such that the first 4 all contain cocaine and the 2 sold to the buyer do not?
Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0

Answer:

The probability of selecting randomly 6 packets such that the first 4 contain cocaine and 2 not is 0.3522.

Step-by-step explanation:

Probabilities of selecting 4 packets with the ilegal substance:

(\frac{15}{4})\\= \frac{15!}{4!(15-4)!}

Combinassions possible= 1365

Probabilities of selecting 2 packets with white powder:

(\frac{5}{2})= \frac{5!}{2!(5-2)!}

Combinations possible= 10

Probabilities of selecting 6 packets from the totality of them:

(\frac{20}{6}) = \frac{20!}{6!(20-6)!}

Combinations possible= 38760

The probability of picking 4 with the substance and 2 with only white powder is:

\frac{(15ncr4)(5ncr2)}{(20ncr6)} = 0.3522

I hope this answer helps you.

You might be interested in
How many 2/3 ounce portions of chocolate can Anna get from the 42/3 ounces of chocolate she bought at Union Market?
Lelechka [254]
She can get 21 portions. Since 2/3 and 42/3 already share the same denominator, all you need to do is divide 42 by 2 to get 21.
6 0
3 years ago
70 POINTS!!!! PLEASE HELP I REALLY NEED HELP ESPECIALLY PART D AND F!!!!
sashaice [31]
Bear in mind that for y intercept x=0 and for x intercept y=0
5 0
3 years ago
Read 2 more answers
Use the graph to answer the question.
dmitriy555 [2]

Answer:

B.

Step-by-step explanation:

hope it helps :)

3 0
3 years ago
Bill ran 400 m in 54s. joe ran 300m in 43s. who ran faster
Vsevolod [243]

Answer:

Bill

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
2.
abruzzese [7]

Answer:

  a) 30 kangaroos in 2030

  b) decreasing 8% per year

  c) large t results in fractional kangaroos: P(100) ≈ 1/55 kangaroo

Step-by-step explanation:

We assume your equation is supposed to be ...

  P(t) = 76(0.92^t)

__

a) P(10) = 76(0.92^10) = 76(0.4344) = 30.01 ≈ 30

In the year 2030, the population of kangaroos in the province is modeled to be 30.

__

b) The population is decreasing. The base 0.92 of the exponent t is the cause. The population is changing by 0.92 -1 = -0.08 = -8% each year.

The population is decreasing by 8% each year.

__

c) The model loses its value once the population drops below 1/2 kangaroo. For large values of t, it predicts only fractional kangaroos, hence is not realistic.

  P(100) = 75(0.92^100) = 76(0.0002392)

  P(100) ≈ 0.0182, about 1/55th of a kangaroo

5 0
3 years ago
Other questions:
  • Mason is purchasing wooden blocks to build a birdhouse. Each block costs $1.80, and Mason wants to spend less than $36. Which in
    9·1 answer
  • Why can you use fraction multiplication to check the answer to a fraction division problem? How do you use multiplication to che
    14·2 answers
  • Juana tiene en su tienda un costal con 28 libras de azucar.Hizo seis paquetes de 2,5 kg cada uno,de los cuales vendio cinco.¿Cua
    8·1 answer
  • What is the value of x?
    7·1 answer
  • Madison can lift 200 kilograms with ease. how much is this in pounds
    13·2 answers
  • Which of the following graphs represents a function with a domain of (-∞, ∞) and a range of (-∞, ∞)?
    13·2 answers
  • John has 4/5 gallon of paint. He uses half of that paint for a project. How much paint does John use for his project?
    5·2 answers
  • Triangles A B C, D E F, G H I, and J K L are shown. Angles A C B, D F E, H I G, and K L J are right angles. The length of side A
    5·2 answers
  • -5x^2=-500 what is the answer
    14·1 answer
  • A rectangular prism measures 3 cm by 9 cm by 27 cm . What is the length in centimeters of a cube with the same volume ?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!