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
anzhelika [568]
2 years ago
15

A u.s. customs inspector decides to inspect 3 out of 16 shipments for contraband. find the probability that 2 out of the 3 shipm

ents will contain contraband if the selection is random and unknown to the inspector, 5 of the 16 shipments contain contraband.
Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0
There are C(5,2) = 10 ways to choose 2 contraband shipments from the 5. There are C(11, 1) = 11 ways to choose a non-contraband shipment from the 11 that are not contraband. Hence there are 10*11 = 110 ways to choose 3 shipments that have 2 contraband shipments among them.

There are C(16,3) = 560 ways to choose 3 shipments from 16. The probability that 2 of those 3 will contain contraband is
  110/560 = 11/56 ≈ 19.6%

_____
C(n,k) = n!/(k!(n-k)!)
You might be interested in
A. x&lt;-1<br> b. x&gt;-1<br> c. x&lt;1<br> d. x&gt;1
Helga [31]
C. is the answer your looking for
5 0
2 years ago
Mrs Moore’s and Mrs. Ruiz’s classes are competing for the best scores on their math test. Use the box plots below to answer ques
Elan Coil [88]

Answer:

Where are the box plots?? I need it to answer the question.

3 0
3 years ago
Read 2 more answers
Translate the sentence into<br> an inequality <br><br> The product of b and 3 is at least -22
Sedaia [141]

Answer:

3b \geq -22

Step-by-step explanation:

Product of of 3 and b is 3b

At least means greater than or equal too.

3b \geq -22

3 0
2 years ago
What is the factorise 12x+8
34kurt
<span>12x+8
Answer is =4(3x+2)</span>
3 0
3 years ago
Please help! Which of the following would result in an integer?
podryga [215]

Answer:

B

Step-by-step explanation:

Cube root of 27 is 3, which is in integer

5 0
1 year ago
Other questions:
  • Help on geometry. Please
    6·1 answer
  • X + 6 = x<br><br> with steps please
    10·1 answer
  • Diane has a part time job that pays her $6.50 an hour. During one week she works 26 hours and is paid $178.10. She realizes when
    15·1 answer
  • What is the least common denominater of 3/4 and 7/10
    13·2 answers
  • A lottery game has balls numbered 1 through 15.
    9·2 answers
  • The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in
    6·2 answers
  • HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • At Joe's Pizzeria, small pizzas cost $7.50, and large pizzas cost
    7·1 answer
  • five twice the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. what is the number? ​
    10·1 answer
  • John earns $8 per hour for his after-school job. He never works more than 18 hours in a week, and he never works a fraction of a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!