The Probability that the number is a perfect square out of two-digit number is chosen at random is [tex]\frac{1}{15}[/tex] .
What is the probability?
Probability is a branch of mathematics that deals with the occurrence of a random event.
For example, when a coin is tossed in the air, the possible outcomes are Head and Tail.
Probability formula :
Probability(Event) = Favorable Outcomes/Total Outcomes
According to the question
A two digit number is chosen at random.
Total number of two digit number are from 10 to 99
i.e
=99-10+1 = 90
or Total Outcomes = 90
Total of perfect square of two-digits are: 16,25,36,49,64,81
Total number of perfect square of two-digits = 6
or Favorable Outcomes = 6
Now , The Probability that the number is a perfect square
Probability(Event) = Favorable Outcomes/Total Outcomes
Probability(Event) = [tex]\frac{6}{90}[/tex]
Probability(Event) = [tex]\frac{1}{15}[/tex]
Hence, the Probability that the number is a perfect square out of two-digit number is [tex]\frac{1}{15}[/tex] .
To know more about Probability here :
https://brainly.com/question/11234923
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