Answer:
![\boxed {\boxed {\sf (7)/(20) \ or \ 35 \% }}](https://img.qammunity.org/2022/formulas/mathematics/high-school/5e76hbbnakv3wqo0fa2uevam1zhfackyzb.png)
Explanation:
Probability tells us how likely something is to occur. It is found by dividing the favorable outcomes by the total outcomes.
![P=(favorable \ outcomes)/(total \ outcomes)](https://img.qammunity.org/2022/formulas/mathematics/high-school/c534trgfzgkch0yyybqbds6w8euh4p648y.png)
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
![P(green \ dye)=(14)/(40)](https://img.qammunity.org/2022/formulas/mathematics/high-school/c6jngt5xfbavfz4cup8779oxkf3z9q40rl.png)
Reduce the fraction. Both the numerator and denominator can be divided by 2.
![P(green \ dye) =(14/2)/(40/2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/8rqyt3omgp184slcmywufmv4mrkgdr7fca.png)
![P (green \ dye)=\frac {7}{20}](https://img.qammunity.org/2022/formulas/mathematics/high-school/wt62fplmkojo0i0y90io4ybazme8sm5dq1.png)
This is the probabilty as a fraction. It can also be written as a percent. Divide the fraction, then multiply by 100.
![P(green \ dye)=(7)/(20)*100](https://img.qammunity.org/2022/formulas/mathematics/high-school/ojpgkvjn32idgzapjufvv03wmg85kv4viv.png)
![P(green \ dye)=0.35 *100](https://img.qammunity.org/2022/formulas/mathematics/high-school/e9hy3kb2d5dk96khy6am12eegrfj2g7yau.png)
![P(green \ dye)=35 =35 \%](https://img.qammunity.org/2022/formulas/mathematics/high-school/rtw41vctw4h99iokwnn374vfaxqiv82k4l.png)
The probablity of selecting a green dye is 7/20 or 35%