Question

The second hand of a clock sweeps continuously around the face of the clock. What is the probability that at any random moment the second hand is between 7 & 12? Pleaseeeee Help :)

Answer 1

Strictly between 7 and 12, given some random interval in time? Then:
\[
60-(12-7)5-1=35-1=34
\]We have 60 seconds in total, so:
\[
P(E)=\frac{34}{60}=\frac{17}{30}
\]And that is your probability.

Answer 2

Thanks :))

Answer 3

Sure thing

Answer 4

5/12

Answer 5

depends on what time it is.

Answer 6

@UnkleRhaukus how'd you'd get 5/12? cuz thats the right answer

Answer 7

lol

Answer 8

wolf

Answer 9

My God I'm stupid, jeez, I literally just gave you the inverse of the proability. It'd be \[
\frac{5\cdot5-1}{60}=\frac{24}{60}=\frac{2}{5}
\]If it is strictly between, or, if it includes 7, then\[\frac{12-7}{12}=\frac{5}{12}\]

Answer 10

I need to get some sleep...

Answer 11

lol thanks @LolWolf

Answer 12

the probability that the hand in on the clock face is 12/12

the probability the hand will be between adjacent numbers is 1/12

the probability the hand will be within 5 adjacent numbers is 5/12