Two neighbors,Ann and Becky, illuminate their houses before christmas. They each randomly turn on the lights between 6 pm and midnight. Ann keeps the lights on for 1.5 hrs and Becky for 2.5 hrs

Answer 1

Ann lights on for 1.5 hours out of 6 hours

Becky on for 2.5 hours out of the same 6 hours

question is what is the probability they will have their lights on at the same time??

= 1 - Pr(never on together)

1.5+2.5 = 4. 4/6 = 2/3 chance never on together

1/3 chance they're on together