Answer

Verified

423.6k+ views

Hint: Start with determining how many numbers are there in 3,5,7,9,……35,37 for total number of favorable outcomes. And also how many prime numbers it exhibits.

According to the question, the numbers on the cards represent 3,5,7,9,……35,37. It consists of all the odd numbers up to 37 except 1.

So, total number of cards $ = \dfrac{{37 - 3}}{2} + 1 = 17 + 1 = 18$

Therefore, the total number of possible outcomes $ = 18$

Now in these, the cards representing prime numbers will be of number 3,5,7,11,13,17,19,23,29,31,37. Thus, there are 18 of these cards.

Therefore the number of favorable outcomes $ = 11$.

Let $E$is the event representing the drawing of a prime numbered card. Then the probability is:

$

\Rightarrow P\left( E \right) = \dfrac{{{\text{No}}{\text{. of favorable outcomes}}}}{{{\text{Total number of possible outcomes}}}}, \\

\Rightarrow P\left( E \right) = \dfrac{{11}}{{18}}. \\

$

Thus, the required probability is $\dfrac{{11}}{{18}}$.

Note: Probability represents the chance of an event to occur. For example in above, the probability is $\dfrac{{11}}{{18}}$. This means that out of 18 trials of drawing the card, there is a chance that 11 of them comes out with a prime number.

According to the question, the numbers on the cards represent 3,5,7,9,……35,37. It consists of all the odd numbers up to 37 except 1.

So, total number of cards $ = \dfrac{{37 - 3}}{2} + 1 = 17 + 1 = 18$

Therefore, the total number of possible outcomes $ = 18$

Now in these, the cards representing prime numbers will be of number 3,5,7,11,13,17,19,23,29,31,37. Thus, there are 18 of these cards.

Therefore the number of favorable outcomes $ = 11$.

Let $E$is the event representing the drawing of a prime numbered card. Then the probability is:

$

\Rightarrow P\left( E \right) = \dfrac{{{\text{No}}{\text{. of favorable outcomes}}}}{{{\text{Total number of possible outcomes}}}}, \\

\Rightarrow P\left( E \right) = \dfrac{{11}}{{18}}. \\

$

Thus, the required probability is $\dfrac{{11}}{{18}}$.

Note: Probability represents the chance of an event to occur. For example in above, the probability is $\dfrac{{11}}{{18}}$. This means that out of 18 trials of drawing the card, there is a chance that 11 of them comes out with a prime number.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Assertion CNG is a better fuel than petrol Reason It class 11 chemistry CBSE

How does pressure exerted by solid and a fluid differ class 8 physics CBSE

Number of valence electrons in Chlorine ion are a 16 class 11 chemistry CBSE

What are agricultural practices? Define

What does CNG stand for and why is it considered to class 10 chemistry CBSE

The rate of evaporation depends on a Surface area b class 9 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

State whether the following statement is true or false class 11 physics CBSE

A night bird owl can see very well in the night but class 12 physics CBSE