answer.
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
vaieri
2 months ago
3

4 out of 15 apples are rotten. They are taken out one by one at random and examined. The ones which are examined are not replace

d. What is the probability that the 9th one examined is the last rotten one?
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
3 0

Respuesta:

0.041

Explicación paso a paso:

Número de manzanas podridas = 4

Total de manzanas = 15

Manzanas buenas = 15 - 4 = 11

Para que la 9ª manzana examinada sea la última podrida, las primeras 8 deben contener 3 podridas y 5 buenas. Esto puede ocurrir de:

C(4,3) × C(11,5)

Recordando que C(n,r) = n! / [(n - r)! r!]

C(4,3) = 4! / (1! 3!) = 4

C(11,5) = 11! / (6! 5!) = 462

Elegir 8 manzanas de 15: C(15,8) = 15! / (7! 8!) = 6435

La 9ª manzana, siendo la última podrida, se elige entre las 7 restantes:

C(7,1) = 7! / (6! 1!) = 7

Por lo tanto, la probabilidad total es:

[C(4,3) × C(11,5)] / [C(15,8) × C(7,1)] = (4 × 462) / (6435 × 7) = 1848 / 45045 = 0.041

You might be interested in
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles
tester [12383]

9514 1404 393

Answer:

96 cubic feet

Step-by-step explanation:

The volume calculation for the dimensions of 16 ft by 18 ft by 1/3 ft is as follows:

V = LWH

V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

Thus, 96 cubic feet of concrete will be required.

7 0
2 months ago
A cone-shaped water cup has a height of 3.3 inches and a diameter of 2.7 inches. One fluid ounce is equivalent to 1.8 cubic inch
lawyer [12517]
The capacity is approximately 3.5 fluid ounces. In order to determine this, we need to compute the volume of a cone-shaped cup. The formula for the volume of a cone is: 1/3 * π * r^2 * h, where r equals the diameter divided by 2, which gives 1.35 inches, and h equals 3.3 inches. After substituting these values, we find the volume to be V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inches. To convert cubic inches to fluid ounces, we use the relationship that 1 fluid ounce is equal to 1.8 cubic inches. Therefore, x fluid ounces equal to 6.3 cubic inches leads to x = 6.3 / 1.8, which results in 3.5 fluid ounces.
8 0
1 month ago
Read 2 more answers
How do I write 56 1/4% as a fraction in simplest form
Svet_ta [12734]
56 1/4% = 9/16
I hope this information is useful!
3 0
1 month ago
Read 2 more answers
Tanmay had some chocolates with him. He gave one-third of them to Akash and one-fifth of them to Sharad. Tanmay could do so with
babunello [11817]

Answer:

Possible values for X include;

15, 30, 45, 60, and so on

Step-by-step explanation:

The parameters provided are

Number of chocolates Tanmay possessed = X

Number of chocolates given to Akash = 1/3 × X

Number of chocolates given to Sharad = 1/5 × X

Consequently, since both 3 and 5 divide X,

3 × 5 = 15 is the smallest single factor of X.

Thus, the values of X based on this minimum factor are as follows;

15 × 1 = 15

15 × 2 = 30

15 × 3 = 45

15 × 4 = 60

Therefore, potential values for X form an arithmetic series: a + (n - 1) × d

Where:

a = 15

n = 1, 2, 3, 4,...

d = 15

This results in;

15, 30, 45, 60

7 0
2 months ago
Write this number in expanded form 719,927
babunello [11817]
Seven hundred nineteen thousand, nine hundred twenty-seven
6 0
1 month ago
Read 2 more answers
Other questions:
  • Find the length of the curve. r(t) = 3 i + t2 j + t3 k, 0 ≤ t ≤ 1
    11·1 answer
  • Elisha is a photographer and charges a set fee to photograph weddings. This is an example of _____ income.
    15·2 answers
  • Consider the discussion in our Devore reading in this unit involving an important distinction between mean and median that uses
    10·1 answer
  • The Multiplication Rule says that P(A and B) = P(A) × P(B). What must be true about events A and B for this rule to apply?
    7·1 answer
  • Select the correct answer. Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare
    11·1 answer
  • Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
    11·1 answer
  • Marla did 65 sit ups each day for one week use the distributive property to show an expression you can use to find the total num
    9·1 answer
  • A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of
    7·2 answers
  • What is the solution to the system of equations? y = A system of equations. Y equals StartFraction one-third EndFraction minus 1
    11·2 answers
  • A car with an initial cost of $23,000 is decreasing in value at a rate of 8% each year. Write the exponential decay function des
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!