Question

The real-life problem of the late coming of a train can be solved by
1) Trigonometry
2) Probability
3) Geometry
4) None of these

Answer 1

Hint: Here, we will use the fact that a trigonometric problem involves shapes of triangles, the geometric problem involves dimensional shapes and the probability problem involves the certainty of an event.

Complete step by step solution:
We are given that the train is coming late.

Since we know that trigonometry is the branch of mathematics which deals with the relations of the sides and angles of the triangle and with relevant functions of any angles, but the problem of the late coming of a train does not involve any of the sides or angles of the triangles.

Thus, the problem of the late coming of a train cannot be solved by trigonometry.

Also, we know that geometry is the branch of mathematics, which concerns with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogues, but the problem of the late coming of the train does not have to do anything with the surfaces, lines, points, solids, and any higher dimensional analogues.

Thus again, the problem of the late coming of a train cannot be solved by geometry.

We know that the probability tells that the numerical description of how likely an event is to occur or how likely it is that a proposition is true.

Since the problem of the late coming of a train involves uncertainty, it is a problem of probability.

Hence, option B is correct.

Note: In solving these types of questions, students should be familiar with the concepts of trigonometry, geometry and probability. We have to take examples and compare them with each option to find the correct one.