Question

When a coin is tossed at random, then the probability of getting a head is
A.0
B.\[\dfrac{1}{2}\]
C.1
D.2

Answer 1

Hint: Here we need to find the probability of getting a head when a coin is tossed at random. For that, we will first find the total number of possible outcomes and then we will find the favorable outcomes. Then we will find the required probability, which will be equal to the ratio of favorable outcomes to the total possible outcomes.

Formula used:
We will use the formula, probability \[ = \] favorable outcomes \[ \div \] total number of possible outcomes.

Complete step-by-step answer:
We need to find the probability of getting a head when a coin is tossed at random.
First we will find the total number of outcomes that are possible here.
We know that the tossing of a coin at random can give two results only, either Head or Tail.
Thus, total number of possible outcomes \[ = 2\]
But we want only heads. So number of favorable outcomes is equal to one i.e.
Number of favorable outcomes \[ = 1\]
Now, we will find the probability of getting a head when a coin is tossed at random.
Substituting the value of the number of favorable outcomes and the total number of possible outcomes in the formula Probability \[ = \] favorable outcomes \[ \div \] total number of possible outcomes, we get
\[ \Rightarrow {\rm{Probability}} = \dfrac{1}{2}\]
Thus, the probability of getting a head when a coin is tossed at random is equal to \[\dfrac{1}{2}\] .
Hence, the correct option is option B.

Note: To solve such a type of problem, we need to find out about probability and its properties. Probability is defined as the ratio of number of favorable or desired outcomes to the total number of possible outcomes. We need to keep in mind that the value of probability cannot be greater than 1 and the value of probability cannot be negative. Also the probability of a sure event is always one.