Question

A two digit number is formed from the digits 2,3,5,7 without repetition. what is the probability if the number formed is a prime number?​

Answer 1

Answer:

S = ( 23, 25, 27, 32, 35, 37, 52, 53, 57, 72, 73, 75 )

n(S) = 12

Event A = Getting a prime number

A = ( 23, 37, 53, 73 )

n(A) = 4

P(A) = n(A) / n(S)

= 4/12

P(A)= 1/3

Step-by-step explanation:

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Answer 2

The probability will be ⅓

Given : A two digit number is formed from the digits 2,3,5,7 without repetition.

To find : What is the probability if the number formed is a prime number?

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required probability)

Now, the two digit numbers formed by the given digits :

= 23,25,27,32,35,37,52,53,57,72,73,75

Number of formed numbers = 12

Now, the prime numbers (the numbers which are only divisible by 1 and by themselves) are :

= 23,37,53,73

Number of prime numbers = 4

The required probability :

= Number of favourable outcomes ÷ Total number of possible outcomes

= Number of prime numbers ÷ Number of formed numbers

= 4÷12

= ⅓

(This will be considered as the final result.)

Hence, the probability will be ⅓