Answer

Verified

35.1k+ 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.

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

A hollow sphere of mass M and radius R is rotating class 1 physics JEE_Main

Two radioactive nuclei P and Q in a given sample decay class 1 physics JEE_Main

Let f be a twice differentiable such that fleft x rightfleft class 11 maths JEE_Main

Find the points of intersection of the tangents at class 11 maths JEE_Main

For the two circles x2+y216 and x2+y22y0 there isare class 11 maths JEE_Main

IfFxdfrac1x2intlimits4xleft 4t22Ft rightdt then F4-class-12-maths-JEE_Main

Other Pages

Which of the following sets of displacements might class 11 physics JEE_Main

when an object Is placed at a distance of 60 cm from class 12 physics JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Assertion An electron is not deflected on passing through class 12 physics JEE_Main

What is the volume of water that must be added to a class 11 chemistry JEE_Main

1mol of ferric oxalate is oxidized by x mol of MnO4in class 11 chemistry JEE_Main