M1Q5.) Enter your answer as a fully reduced fraction.

Answer:
9/17
Step-by-step explanation:
Chance of being over 40:
[tex] \frac{20 + 30 + 35}{255} = \frac{1}{3} [/tex]
Chance of drinking
root beer:
[tex] \frac{25 + 20 + 30}{255} = \frac{75}{255} [/tex]
Chance of drinking root beer and being over 40
[tex] \frac{1}{3} \times \frac{75}{255} = \frac{25}{255} [/tex]
Chance of drinking root beer OR being over 40
[tex] \frac{1}{3} + \frac{75}{255} - \frac{25}{255} = \frac{135}{255} = \frac{9}{17} [/tex]
20+30+35/255
1/3 chance of being 40+ years old
20+25+30/255
75/255 chance of drinking root beer
75/255 * 1/3
25/255 chance of drinking root beer being 40+ years old
75/255 - 25/255 * 1/3
135/255
9/17 chance of drinking root beer under the age of 40 years old.
Best of Luck!