juanny1818
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In how many ways can 2 singers be selected from 4 who came to an audition?

A. 6
B. 2
C. 12
D. 4

In a batch of 280 water purifiers, 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.

A. 4.3%
B. 5.6%
C. 95.7%
D. 71.8%

Respuesta :

First part  its 4C2  = 4*3 / 2 = 6

Second part
12 * 100
----------    =   4.3 %
   280
JeanaShupp

Answer: A. 6

A. 4.3%

Step-by-step explanation:

The total number of singers = 4

To choose singers = 2

The number of ways to choose 2 singers from 4= [tex]^4C_2=\frac{4!}{2!(4-2)!}=3\times2=6[/tex]

Hence, A is the right option.

The total number of water purifiers  T= 280

The number of defective purifiers D= 12

The probability that a water purifier chosen at random will be defective (in percent)=[tex]\frac{\text{T}}{\text{D}}\times100[/tex]

[tex]=\frac{12}{280}\times100\\=0.042857\times100\\=4.2857\%\approx4.3\%[/tex]

Hence, A is the right option.

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