Math, asked by lukman10, 11 months ago

What is the probability that the
minute and hour hands of a clock will
form an acute angle at any given time?


Answers

Answered by DevendraLal
5

Given:

Minute hand and hour hand

To Find:

Probability that the  minute and hour hands of a clock will  form an acute angle.

Solution:

1) Suppose hour hand fixed at 12

2) Now acute angle is possible when minute hand is between 9 to 3 & there is exactly ½ possibility that the  minute and hour hands of a clock will  form an acute angle because we get the same angle for the interval of 9 to 3 and 3 to 9 again.

3) In this case we supposed that hour hand is at 12, you can suppose at anywhere, possibility of getting acute angle will be constant (½) will be constant for the every case so on the average we get the probability as 1/2.

 So the probability that the  minute and hour hands of a clock will  form an acute angle is 1/2.

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