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
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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
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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.
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.