Answer
Verified
425.7k+ 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
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