Question

A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is

allowed. Find the probability that a number so formed is a prime number.​

Answer 1

Answer:

5/16

Step-by-step explanation:

Prime Number: A prime number is a number which has only 2 factors, i.e. 1 and the number itself.

Probability: Probability is the measure of the chance that an event will occur.

According to Question:-

Digits Given:

0,1,2,3 and 4

Condition:    

No repetition of digits and a two digit number to be formed

All the possible digit combinations:

10,12,13,14

20,21,23,24

30,31,32,34

40,41,42,43

Therefore, there are 16 such combinations fulfilling all conditions.

Now these are the prime numbers you have got:

13,23,31,41,43

Therefore, the probability of getting a prime number is 5/16.

Answer 2

Answer:

Sample space=(10,11,12,13,20,21,22,23,30,31,32,33)

so, n(s)=12.

Event A that number so formed is prime number.

A=(11,13,23,31)

so,n(A)= 4

so,P(A)= n(S)/n(A)=4/12=1/3