Question

two digit number is formed with the digits 2 587 .Where repetition of digits is not allowed.Find the probability that the number so formed is
a) a square number
b) divisible by 3
c) greater than 52
d) less than 57
​

Answer 1

Answer:

The possible outcomes when a two-digit number is formed with the digits 2,5 and 7 are {25,27,52,57,72,75}. Therefore, the number of possible outcomes when a two-digit number is formed with the digits 2,5 and 7 is 6.

Now, there is no possible outcome of a number less than 25, which means the number of favourable outcome is 0.

Therefore, probability P of a number less than 25 is:

P=

6

0

=0

Hence, the probability of a number less than 25 is 0.

Answer 2

Step-by-step explanation:

The possible outcomes when a two-digit number is formed with the digits 2,5 and 7 are {25,27,52,57,72,75}. Therefore, the number of possible outcomes when a two-digit number is formed with the digits 2,5 and 7 is 6.

Now, there is no possible outcome of a number less than 25, which means the number of favourable outcome is 0.

Therefore, probability P of a number less than 25 is:

P=

6

0

=0

Hence, the probability of a number less than 25 is 0.