Question

Note the frequency of two-wheelers, three-wheelers and four-wheelers going past during a time interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

Answer 1

Hint:
Here, find the number of two-wheelers, three-wheelers and four-wheelers and add them. After that, find the probability of getting a two-wheeler. Try it, you will definitely get the answer.

Complete step by step solution:
Here let us assume the number of two-wheelers, three-wheelers and four-wheelers going past during a time interval, in front of the school gate.

Types of vehicles	Number of vehicles
Two-wheeler	150
Three-wheeler	25
Four-wheeler	75

Now we have to find the probability of getting a two-wheeler.
For that first let us count the total number of vehicles.
Total number of vehicles $=$ number of two-wheeler $+$ number of three-wheeler$+$ number of four-wheeler.
Total number of vehicles $=$$150+25+75=250$
So, the total number of vehicles in front of the school gate is $250$.
Now probability of getting two-wheeler$=\dfrac{\text{Number of two-wheeler}}{\text{total number of vehicles}}$
probability of getting two-wheeler$=\dfrac{150}{250}$
Now simplifying in simple manner we get,
probability of getting a two-wheeler $=\dfrac{3}{5}$.
So, the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler is $\dfrac{3}{5}$.

Additional information:
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in math to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Note:
Probability is basically the extent to which something is likely to happen. Here, we have assumed the values for the number of vehicles. The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.