luhihernandez07 luhihernandez07
  • 15-08-2022
  • Mathematics
contestada

A shipment of 10 computers contains 2 with defects. Find the probability that a sample of size 2​, drawn from the ​10, will not contain a defective computer.

A shipment of 10 computers contains 2 with defects Find the probability that a sample of size 2 drawn from the 10 will not contain a defective computer class=

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 15-08-2022

Answer:

[tex]\frac{28}{45} .[/tex]

Step-by-step explanation:

way_1:

according to the condition the probability for the 1st computer is 8/10=4/5;

for the 2d computer is 7/9. Then the final probability is P=4/5 * 7/9=28/45;

way_2:

the required probability can be calculated according the formula:

[tex]P=\frac{no-cases}{total-cases};[/tex]

then

[tex]P=\frac{C^2_8}{C^2_{10}} =\frac{2!8!8!}{2!6!10!}=\frac{28}{45} .[/tex]

Answer Link

Otras preguntas

How do I write the number in 2 other forms 0.632 and 4.293 ?
Each square on olivias chessboard is 11 square centimeters. a chessboard has 8 squares on each side. To the nearest tenth, what is the width of olivias chessboa
what's the number order from least to geastest? 0.5,0.05,5/8
the nearest ten 42 plz help
how do I write the sum of 5.815 + 6.021 as a sum of two mixed numbers?
What value does the 2 and 6 represent in the number 7,801,204.76
What is the square root of 1.44 with a + and - on the outside of the radical?
Why are lines of latitude,longitude,the equator,and prime meridian called imaginary lines ?
2x+2y=8 in function form step by step please?
We understand that the citizenship of an individual is a_____________