Answer
Verified
420.9k+ views
Hint: Probability of an event is given as the fraction of the favourable cases for the event and total cases for the problem. Use the given table to get the favourable cases for getting more tails than heads. Hence, use the fundamental expression of probability to get an answer. Mathematically probability can be given as
$P=\dfrac{\text{favourable cases}}{\text{Total cases}}$
Complete step-by-step answer:
Here, we have a table representing the frequency of outcomes for tossing three coins 100 times simultaneously. Table is given in the problem as
As we know that probability of any event can be given as a fraction of favourable cases and total cases. So, we have
Probability $P=\dfrac{\text{Number of favourable cases}}{\text{Total cases}}$
Now, coming to the question part, as we need to determine the probability of getting more tails than heads by tossing three coins once. Now, we know that the number of tails will be higher on three coins if the number of heads are 0 or 1. In other words we need to determine the probability of getting no head or one head by tossing three coins.
So, we can get the favourable cases for getting more tails than heads are:
Favourable cases = Number of head + Number of one head
=14 + 38 =52.
And the total number of cases = 100. Hence, probability can be given as
$P=\dfrac{52}{100}=\dfrac{13}{25}$
So, probability of getting more tails than heads is $\dfrac{13}{25.}$
Note: One may confuse the question in a way that we have been asked about the probability of getting more tails than heads but we have a table of frequency of heads only. So, one needs to understand that if there is no head on the coin then it will show tail on it. So, don’t be confused with the table and question. So, we can draw a table for tails as
So, it can be another approach for finding the probability for the given condition. Another approach for the question would be that we can get the probability of getting more tails than heads by adding the probabilities of getting one head and zero heads. Answer will remain the same.
$P=\dfrac{\text{favourable cases}}{\text{Total cases}}$
Complete step-by-step answer:
Here, we have a table representing the frequency of outcomes for tossing three coins 100 times simultaneously. Table is given in the problem as
Outcome | No head | One head | Two heads | Three heads |
Frequency | 14 | 38 | 36 | 12 |
As we know that probability of any event can be given as a fraction of favourable cases and total cases. So, we have
Probability $P=\dfrac{\text{Number of favourable cases}}{\text{Total cases}}$
Now, coming to the question part, as we need to determine the probability of getting more tails than heads by tossing three coins once. Now, we know that the number of tails will be higher on three coins if the number of heads are 0 or 1. In other words we need to determine the probability of getting no head or one head by tossing three coins.
So, we can get the favourable cases for getting more tails than heads are:
Favourable cases = Number of head + Number of one head
=14 + 38 =52.
And the total number of cases = 100. Hence, probability can be given as
$P=\dfrac{52}{100}=\dfrac{13}{25}$
So, probability of getting more tails than heads is $\dfrac{13}{25.}$
Note: One may confuse the question in a way that we have been asked about the probability of getting more tails than heads but we have a table of frequency of heads only. So, one needs to understand that if there is no head on the coin then it will show tail on it. So, don’t be confused with the table and question. So, we can draw a table for tails as
Three tails | 2 tails | 1 tail | No tail |
14 | 38 | 36 | 12 |
So, it can be another approach for finding the probability for the given condition. Another approach for the question would be that we can get the probability of getting more tails than heads by adding the probabilities of getting one head and zero heads. Answer will remain the same.
Recently Updated Pages
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
What are the possible quantum number for the last outermost class 11 chemistry CBSE
Is C2 paramagnetic or diamagnetic class 11 chemistry CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE