Answer
Verified
480.9k+ views
Hint: Count the number of cases present then use the formula of probability to solve the problem.
We want $x \times y < 16$ and we have 4 given values for both x and y. So, we have 16 total cases. Now, let’s count all the possible cases where $x \times y < 16$ .
$\
x \times y < 16 \\
1 \times 1 < 16 \\
1 \times 4 < 16 \\
1 \times 9 < 16 \\
2 \times 1 < 16 \\
2 \times 4 < 16 \\
3 \times 1 < 16 \\
3 \times 4 < 16 \\
4 \times 1 < 16 \\
\ $
As above mentioned, we have 8 cases which satisfy a given condition. We know the for of probability P as $p = \dfrac{{{\text{Number of favourable cases}}}}{{{\text{Number of total cases}}}}$ .On putting the values,
$p = \dfrac{8}{{{\text{16}}}} = \dfrac{1}{2}$
So $\dfrac{1}{2}$ is the required probability.
Note: there is one more method in probability theory to solve this question but we found it easier to understand.
We want $x \times y < 16$ and we have 4 given values for both x and y. So, we have 16 total cases. Now, let’s count all the possible cases where $x \times y < 16$ .
$\
x \times y < 16 \\
1 \times 1 < 16 \\
1 \times 4 < 16 \\
1 \times 9 < 16 \\
2 \times 1 < 16 \\
2 \times 4 < 16 \\
3 \times 1 < 16 \\
3 \times 4 < 16 \\
4 \times 1 < 16 \\
\ $
As above mentioned, we have 8 cases which satisfy a given condition. We know the for of probability P as $p = \dfrac{{{\text{Number of favourable cases}}}}{{{\text{Number of total cases}}}}$ .On putting the values,
$p = \dfrac{8}{{{\text{16}}}} = \dfrac{1}{2}$
So $\dfrac{1}{2}$ is the required probability.
Note: there is one more method in probability theory to solve this question but we found it easier to understand.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE