Am I missing something?
9 possibilities (0-9 excluding 6) for each of the last 4 digits and 6 (0-5) for the first one.
6 * 9^4 = 39366
The probability is 100/39366 = 0.0025%
Edit: More perls; "What is the angle at 3:15?" humm 0?
Am I missing something?
0. Missing high-school-level math skills.
1. Double-counting numbers with double sixes (e.g. counting 666 three times)
2. Either failing to count the number 60,000 or mistakenly counting numbers 60,000-69,999
3. Failing to invert the result (i.e. counting the probability it /does/ have a six, instead of the probability it /doesn't/ )
4. Getting a result that was off by several orders of magnitude, and not noticing it.
5. Messing up the mental arithmetic (this is the reason I wouldn't use this question in an interview)
In other words it's a test of diligence and being able to get the right answer to simple problems. Which is a valuable quality in an industry with so many off-by-one errors!
$ seq 1 60000 | grep 6 | wc -l
20635
1-(20635/60000) = 0.656 => 65.6%No, not 0, because the hour hand will have moved 1/4 the way to 4, making the angle 7.5 degrees.
This question is about how angles are measured on a clock face, there are 2 methods where you either use hours (360/12) per hour, or minutes (360/60) per minute.
So at 3:15 the angle will be 30x3+30/4 or 97.5 degrees from 0 or just 30/4 which is 7.5 if the hour is your starting point.
It's not 0. At 3:00 sharp the angle is 90 degrees. 15 Minutes later the minute hand covered those 90 degrees, however the hour hand moved by a small amount too.
The probability is 39365/60000