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
eduard
3 years ago
12

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in

appearance. if the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics?
Mathematics
2 answers:
Olenka [21]3 years ago
8 0
The probability is 0.3, or 30%.

These are not independent events; one pill being chosen will affect the probability after that, as the pill will not be replaced before selecting the next one.

The probability of getting exactly 1 narcotic pill is given by:
(6/15)(9/14)(8/13) = 432/2730.  It does not matter what order the narcotic pill is in, the overall product will be the same.

The probability of getting exactly 2 narcotic pills is given by:
(6/15)(5/14)(9/13) = 270/2730.  Again, the order these are found in does not matter, as it is multiplication and will not change the product.

The probability of all 3 pills being narcotics is given by:
(6/15)(5/14)(4/13) = 120/2730.

Adding these three possibilities together, we have 822/2730 = 0.30.
Readme [11.4K]3 years ago
3 0

The probability that the traveler will be arrested for illegal possession of narcotics \boxed{0.738}.

Further Explanation:

The formula of permutation can be expressed as,

\boxed{^n{C_r} = \frac{{n!}}{{r!\left( {n - r} \right)!}}}

Here, “n” represents the total observations and “r” represents number of the observation has to be arranged.

Given:

There are 6 narcotic tablets in a bottle.

There are 9 vitamin tablets in a bottle.

Explanation:

The total number of tablets are 15{\text{ tablets}}.

The probability of getting a narcotic tablet is \dfrac{2}{5}.

The probability of getting a vitamin tablet is \dfrac{3}{5}.

The probability that the traveler will be arrested for illegal possession of narcotics can be obtained as follows,

\begin{aligned}{\text{Probability}} &= {}^3{C_1}{\left( {\frac{2}{5}} \right)^1}{\left( {\frac{3}{5}} \right)^2} + {}^3{C_2}{\left( {\frac{2}{5}} \right)^2}\left( {\frac{3}{5}} \right) + {}^3{C_3}{\left( {\frac{2}{5}} \right)^3}\\&= 0.432 + 0.288 + 0.018\\&= 0.738\\\end{aligned}

The probability that the traveler will be arrested for illegal possession of narcotics \boxed{0.738}.

Learn more:

  1. Learn more about normal distribution brainly.com/question/12698949
  2. Learn more about standard normal distribution brainly.com/question/13006989
  3. Learn more about confidence interval of meanhttps://brainly.com/question/12986589

Answer details:

Grade: College

Subject: Statistics

Chapter: Binomial Distribution

Keywords: detection, customs, traveler, places, 6 narcotic, narcotic tablets, bottle, vitamin, 9 vitamin tablets, similar, customs, official, selects, illegal possession, arrested, traveler, random analysis, probability, narcotics.

You might be interested in
Answer all three please having trouble
Alona [7]

Answer:

1) b 243

Sorry, I couldn't figure out the other two..

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3. The graph y = x2 - 3 is translated down 6 units. What would be the new function rule? Y=8² - 9 À​
SIZIF [17.4K]

Answer:

a= −1/9y+64/9

3 0
3 years ago
The least common multiple of 3,4,6,8 is
kati45 [8]
The least common multiple is 2
5 0
3 years ago
Read 2 more answers
Please help it's due in a few minutes. ​
Oksanka [162]
The answer would be 1/3 right?
3 0
3 years ago
Read 2 more answers
QUICK QUESTION! PLEASE ANSWER FAST!
nignag [31]

Answer:

I think √170

Step-by-step explanation:

The points are A: (-3,5) and (4,-6) so we plug this into the distance formula

√(x2-x1)^2+(y2-y1)^2

√(4-(-3))^2+(-6-5)^2

√(7)^2+(-11)^2=

√49+121= √170 or a really long decimal which starts out 13.038404810

If I got the points wrong I can redo the problem and get another answer but I did the problem on my own and used a calculator and got the same answer

8 0
3 years ago
Other questions:
  • What is the decimal at the bottom of an element on the periodic table​?
    8·2 answers
  • Graph the six terms of a finite sequence where a1= -10 and d=3
    14·1 answer
  • Write the number below in scientific notation, incorporating what you know about significant digits. 67,890,000
    10·1 answer
  • Subtract 7x+3 from 2x-7
    14·1 answer
  • Calculate the area of the circle round your answer to the nearest hundreds <br>​
    13·1 answer
  • $2.99 socks; 5.5% discount
    8·1 answer
  • What is 9 as a fraction with 6 as a denominator
    9·1 answer
  • If you arrange a group of numbers in order of size the middle number is called?
    6·2 answers
  • What could the answer be?
    12·1 answer
  • I need some help on this :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!