
The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the leap?
Answer
139.8k+ views
Hint: The probability of any event happening is given by dividing the number of outcomes of that event divided by the total number of events, that is;
$P = \dfrac{{{\text{Number of favourable outcomes}}}}{{{\text{Total number of outcomes}}}}$
Apply this formula, and then use the given conditions to find the required value.
Complete step-by-step solution
Let us carefully read the given question and observe that it says that the total number of apples are 900.
Thus, in this case we get that our total number of outcomes are 900.
Let the number of outcomes of selecting a rotten apple randomly from a leap of 900 apples be $x$.
We use the formula of probability given by, $P = \dfrac{{{\text{Number of favourable outcomes}}}}{{{\text{Total number of outcomes}}}}$ and substitute the obtained values in it.
$P = \dfrac{x}{{900}}$
Now, we use the fact given in the question that the probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18.
Thus, we get,
$
0.18 = \dfrac{x}{{900}} \\
\Rightarrow x = 162 \\
$
Thus, the number of rotten apples in the heap is 162.
Note: In solving these types of questions, you should be familiar with the formula to find the probability of any event happening. Then use the given conditions and values given in the question, and substitute in the formula for probability of the event, to find the missing values.
Avoid any calculation mistakes.
$P = \dfrac{{{\text{Number of favourable outcomes}}}}{{{\text{Total number of outcomes}}}}$
Apply this formula, and then use the given conditions to find the required value.
Complete step-by-step solution
Let us carefully read the given question and observe that it says that the total number of apples are 900.
Thus, in this case we get that our total number of outcomes are 900.
Let the number of outcomes of selecting a rotten apple randomly from a leap of 900 apples be $x$.
We use the formula of probability given by, $P = \dfrac{{{\text{Number of favourable outcomes}}}}{{{\text{Total number of outcomes}}}}$ and substitute the obtained values in it.
$P = \dfrac{x}{{900}}$
Now, we use the fact given in the question that the probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18.
Thus, we get,
$
0.18 = \dfrac{x}{{900}} \\
\Rightarrow x = 162 \\
$
Thus, the number of rotten apples in the heap is 162.
Note: In solving these types of questions, you should be familiar with the formula to find the probability of any event happening. Then use the given conditions and values given in the question, and substitute in the formula for probability of the event, to find the missing values.
Avoid any calculation mistakes.
Recently Updated Pages
Average fee range for JEE coaching in India- Complete Details

Difference Between Rows and Columns: JEE Main 2024

Difference Between Length and Height: JEE Main 2024

Difference Between Natural and Whole Numbers: JEE Main 2024

Algebraic Formula

Difference Between Constants and Variables: JEE Main 2024

Trending doubts
JEE Main Response Sheet 2025 Released – Download Links, and Check Latest Updates

JEE Mains 2025 Syllabus

JEE Main 2025: Physics Average Speed Formula Derivation with Solved Examples

JEE Main 2025 Session 2 Admit Card Release Date (Soon) and Download Link

A point charge + 20mu C is at a distance 6cm directly class 12 physics JEE_Main

Difference Between Displacement and Double Displacement Reaction for JEE Main 2024

Other Pages
Surface Areas and Volumes Class 10 Notes CBSE Maths Chapter 12 (Free PDF Download)

Areas Related to Circles Class 10 Notes CBSE Maths Chapter 11 (Free PDF Download)

NCERT Solutions for Class 10 Maths Chapter 14 Probability

NCERT Solutions for Class 10 Maths In Hindi Chapter 15 Probability

CBSE Class 12 English Core Syllabus 2024-25 - Revised PDF Download

CBSE Date Sheet 2025 Class 12 - Download Timetable PDF for FREE Now
