Question

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

Answer 1

9/17

Explanation:

Chance of being over 40:

`(20 + 30 + 35)/(255) = (1)/(3)`

Chance of drinking

root beer:

`(25 + 20 + 30)/(255) = (75)/(255)`

Chance of drinking root beer and being over 40

`(1)/(3) * (75)/(255) = (25)/(255)`

Chance of drinking root beer OR being over 40

`(1)/(3) + (75)/(255) - (25)/(255) = (135)/(255) = (9)/(17)`

Answer 2

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!