Answer:
[tex]\boxed {\boxed {\sf \frac{7}{20} \ or \ 35 \% }}[/tex]
Step-by-step explanation:
Probability tells us how likely something is to occur. It is found by dividing the favorable outcomes by the total outcomes.
[tex]P=\frac{favorable \ outcomes}{total \ outcomes}[/tex]
In this question, a favorable outcome is selecting a green dye. The total outcomes are all the dyes.
- Favorable outcomes (green dye): 14
- Total outcomes (all dyes): 20 blue+ 6 red+14 green=40
[tex]P(green \ dye)=\frac{14}{40}[/tex]
Reduce the fraction. Both the numerator and denominator can be divided by 2.
[tex]P(green \ dye) =\frac{14/2}{40/2}[/tex]
[tex]P (green \ dye)=\frac {7}{20}[/tex]
This is the probabilty as a fraction. It can also be written as a percent. Divide the fraction, then multiply by 100.
[tex]P(green \ dye)=\frac{7}{20}*100[/tex]
[tex]P(green \ dye)=0.35 *100[/tex]
[tex]P(green \ dye)=35 =35 \%[/tex]
The probablity of selecting a green dye is 7/20 or 35%
