Find the probability of getting a tail when an unbiased coin is tossed.
A. 0
B. $\dfrac{1}{2}$
C. 1
D. 2
Answer
586.2k+ views
Hint: We first explain the concept of probability and how the events are considered. We take the given events and find the number of outcomes. Using the probability theorem of $P\left( A \right)=\dfrac{n\left( A \right)}{n\left( U \right)}$, we get the probability of the event of coin tossing.
Complete step by step answer:
Empirical probability uses the number of occurrences of an outcome within a sample set as a basis for determining the probability of that outcome.We take two events, one with conditions and other one without conditions. The later one is called the universal event which chooses all possible options. We find the number of outcomes for both events. We take the conditional event A and the universal event as U and numbers will be denoted as $n\left( A \right)$ and $n\left( U \right)$.
We take the probability of the given problem as
$P\left( A \right)=\dfrac{n\left( A \right)}{n\left( U \right)}$
We are given that an unbiased coin is tossed and we need to find the probability of getting a tail. The possible number of outcomes for tossing a coin is either Head or Tail. Therefore, if the condition of getting a tail is considered as A, then
$n\left( A \right)=1$ and $n\left( U \right)=2$.
The probability of the shooting event is $P\left( A \right)=\dfrac{1}{2}$.
Hence, the correct option is B.
Note: We need to understand the concept of universal events. This will be as the main event that is implemented before the conditional event. Empirical probabilities, which are estimates, calculated probabilities involving distinct outcomes from a sample space are exact.
Complete step by step answer:
Empirical probability uses the number of occurrences of an outcome within a sample set as a basis for determining the probability of that outcome.We take two events, one with conditions and other one without conditions. The later one is called the universal event which chooses all possible options. We find the number of outcomes for both events. We take the conditional event A and the universal event as U and numbers will be denoted as $n\left( A \right)$ and $n\left( U \right)$.
We take the probability of the given problem as
$P\left( A \right)=\dfrac{n\left( A \right)}{n\left( U \right)}$
We are given that an unbiased coin is tossed and we need to find the probability of getting a tail. The possible number of outcomes for tossing a coin is either Head or Tail. Therefore, if the condition of getting a tail is considered as A, then
$n\left( A \right)=1$ and $n\left( U \right)=2$.
The probability of the shooting event is $P\left( A \right)=\dfrac{1}{2}$.
Hence, the correct option is B.
Note: We need to understand the concept of universal events. This will be as the main event that is implemented before the conditional event. Empirical probabilities, which are estimates, calculated probabilities involving distinct outcomes from a sample space are exact.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

Explain the energy losses in the transformer How are class 12 physics CBSE

Draw a well labelled diagram of LS of the human ki class 12 biology CBSE

Draw a well labelled diagram of the human brain class 12 biology CBSE

State the principle of an ac generator and explain class 12 physics CBSE

