Question

A two digit number is to be formed from the digits 0,1,2,3,4,
without repetition of the digits. Find the probability that the number so
formed is a prime number

Answer 1

Answer:

Step-by-step explanation: Write down all the total outcome:

10,12,13,14,20,21,23,24,31,32,34,40,41,42,43.        Thus the total outcome is 15

P= favourable outcome / total outcome

Favourable Outcome = 5 i.e 13,23,31,41,43

Thus, p(number is a prime no.)= 5/15

That is, p= 1/3

P(of getting a prime no.) = 1/3

Answer 2

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.

Hope it helps!