One is asked to say a two-digit number. what is the probability of it being a perfect square?

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Suppose you choose a two-digit number at random. What is the theoretical probability that its square root is an integer?

there are total 90 two digit numbers among them 6 are perfect squares
so probability is 6/90 = 1/15

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Standard 10 Mathematics Part - 1>Mathematics of Chance>Q (3)

1. Probability:

Probability of an event E can be calculated using the formula: 

PE=Number of outcomes favourable to ENumber of all possible outcomes of the experiment

2. Range of Probability:

The probability of an event lies between E is a number PE such that 0≤P(E)≤1.

3. Geometric probability =Area of the favourable region Area of the whole region

4. The outcomes of two events happening simultaneously, for example tossing of two coins together can be listed as: H,H, H,T, T,H, T,T, where H=Head, T=Tail.

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