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
Ymorist [56]
3 years ago
7

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
1 answer:
lukranit [14]3 years ago
8 0

Answer: \dfrac{26}{27}

Step-by-step explanation:

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

Proportion of success : p=\dfrac{6}{9}=\dfrac{2}{3}

Sample size taken by customs official : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

The probability that the traveler will be arrested for illegal possession of narcotics =P(x\geq1)=1-P(x=0)

1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = \dfrac{26}{27}

You might be interested in
There are 20 students in a math class. Thirty percent of the
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

20% of 30 is 6 are randomly selected.

30 choose 6 = 30! / (30-6)! 6!

                 = 30! / 24!6!

                 = 30 * 29 * 28 * 27 * 26 * 25

                   --------------------------------- <-- 24! cancels

                    6 * 5 * 4 * 3 * 2 * 1

                 = 29 * 28 * 27 * 26 * 25

                  ---------------------------------- <--- 30 = 6 * 5 cancels

                      4 * 3 * 2 * 1

                = 29 * 7 * 9 * 13 * 25   <--  4 cancels 28, 3 cancels 27, 2 cancels 26

               = 593775

3 0
2 years ago
Simplify the following functions so that your answers do not include trig functions. In each case, assume x∈(−1,1). cos(2sin−1x−
Roman55 [17]

Answer:

cos(2sin−1x)=1−2x2

Step-by-step explanation:

et sin−1x=θ , so that, x=sinθ,|x|≤1,θ∈[−π2,π2].

3 0
2 years ago
If i want to show two lines are parallel what formula do i use?
Elena-2011 [213]

Answer:

Slope formula

7 0
2 years ago
What is the answer to this problem 75=3(-6n-5)
devlian [24]

Answer:

n=-5

Step-by-step explanation:

first you have to distribute the 3 to the -6 and the 5. In return u will get -18n and 15. then you have to cancel like terms. then you have to add 18 to the 75 which gives you 93. then you divide -18 by 93 which gives you -5.166 repeating... so all you have to do is round. your final answer will be -5.

5 0
3 years ago
What is subtracting fractions <br> 7/10-1/4
Mandarinka [93]

Answer: 9/20

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Next number in sequence 7 16 8 27 9 ?
    7·2 answers
  • One half the sum of a number z and 3 1/2 is 4 1/2
    15·1 answer
  • Ummmmmmmmmmmm. What is 90% of 550?
    10·2 answers
  • describe a system of equations in which subtraction would be the most efficient way of solving the system.
    13·1 answer
  • The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated from college 2 years ago, and each is now earning $50,0
    9·1 answer
  • What is the answer to this problem <br>3 over 5=c+1 over 4
    15·1 answer
  • Help me and i will give u a brainlliest
    10·1 answer
  • Help me please. I kinda need it right now.!
    10·2 answers
  • What number goes into 48.4 and 11 it is ok if it is not a whole number
    8·2 answers
  • Multiplication property of equality: If AB = CD, then 5 • AB =
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!