The big clock

The big clock hands stopped at a random moment. What is the probability that:

a) a small hand showed the time between 1:00 and 3:00?
b) the big hand was in the same area as a small hand in the role of a)?
c) did the hours just show the time between 21:00 and 22:30?

Correct answer:

p₁ =  25 %
p₂ =  25 %
p₃ =  12.5 %

Step-by-step explanation:

$p_1=100\cdot {\displaystyle \frac{3}{12}}=25\mathrm{\%}$

$p_2=100\cdot {\displaystyle \frac{3}{12}}=25\mathrm{\%}$

$p_3=100\cdot {\displaystyle \frac{22.50-21.00}{12}}={\displaystyle \frac{25}{2}}={\displaystyle \frac{25}{2}}\mathrm{\%}=12.5\mathrm{\%}$

Try another example

Related math problems and questions:

• What is
  What is the probability that the sum of 9 will fall on a roll of two dice? Hint: write down all the pairs that can occur as follows: 11 12 13 14 15. . 21 22 23 24. .. . 31 32. .. . . . . . .. . 66, count them, it's the variable n variable m: 36, 63,. .. .
• A clock
  A clock was set right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? Show your solution
• The temperature
  The temperature at 1:00 was 10 F. Between 1:00 and 2:00, the temperature dropped 15F. Between 2:00 and 3:00, the temperature rose 3F. What is the temperature at 3:00?
• Candles
  Before Christmas, Eva bought two cylindrical candles - red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 p. M. , lit a green candle at 7:00 p. M. , and left them both on fire until they burned. At 9:30 p. M. , bo
• Clock hands
  The hands-on clock shows the time 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later.
• Circle arc
  Calculate the circular arc area in m² where the diameter is 290 dm, and a central angle is 135°. Result round to three decimal places.
• Perfect cubes
  Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?
• Special watch
  Fero bought a special watch on the market. They have only one (minute) hand and a display that shows which angle between the hour and minute hand. How many hours was his watch shown - the minute hand points to number 2; the display shows 125°?
• Three shooters
  Three shooters shoot, each one time, on the same target. The first hit the target with a probability of 0.7; second with a probability of 0.8 and a third with a probability of 0.9. What is the probability to hit the target: a) just once b) at least once c
• Complaints
  The table is given: days complaints 0-4 2 5-9 4 10-14 8 15-19 6 20-24 4 25-29 3 30-34 3 1.1 What percentage of complaints were resolved within 2weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal number of day
• Two machines
  The first machine can produce parts in 24 hours, the second in 16 hours. The first started working at 6:00 pm. Second at 10:00 o'clock. At what hour were all parts made?
• Circular arc
  Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 °
• Eq triangle minus arcs
  In an equilateral triangle with a 2cm side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the content of the shaded part - a formation that makes up the difference between the triangle area and circular cuts
• Peaches
  There are 20 peaches in the pocket. 3 peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten?
• Covid-19
  Data showed that 22% of people in a small town was infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents was infected.
• Twenty
  Twenty swallows sit on a 10 m long telephone cable. Assume that swallows are completely randomly distributed along the line. (a) What is the probability that more than three swallows sit on a randomly selected section of cable 1 m long? (b) What is the pr
• Reducing scale
  I am sizing some landscaping and I measured everything for a 20 to 1 scale. I realized when I was done that it was at 30 to 1. How can I convert what I already have to 30 to 1. (Example, grass area is 22,871.6' at 20 to 1, how do you figure it out to be 3