a two digit number is formed with the digits 2,5&7.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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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, the possible outcome of a square number is {25}, which means the number of favourable outcome is 1.
Therefore, probability P of a square number is:
P=
6
1
Hence, the probability of a square number is
6
1
.
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