Question

Teacher asked a student to say a two digit number, a) What is the probability of that number being 17? b) What is the probability of it being a perfect square?

Answer 1

teacher askefd a student to say a 2digiy number a) what is the probability of that number being 17b) what is the probability of it being a perfect square

Answer 2

The probability of that number being 17 and being a perfect square is 1/100 and 3/50 respectively.

Given:-

Two digit numbers from 10 to 99.

To Find:-

The probability of that number being 17 and being a perfect square.

Solution:-

We can easily find out the value of probability of that number being 17 and being a perfect square by using these simple steps.

As

Two digit numbers starts from 10 till 99.

Total digits = 100

a) Probability of the number being 17,

$p = \frac{favoured \: outcome}{total \: outcomes}$

since there is only one 17 present

$p 1= \frac{1}{100}$

b) Probability of the number being a perfect square,

Total perfect square having two digits = n

n = 16, 25, 36, 49, 64, 81

n = 6

$p = \frac{favoured \: outcome}{total \: outcomes}$

$p2 = \frac{6}{100}$

$p2 = \frac{3}{50}$

Hence, The probability of that number being 17 and being a perfect square is 1/100 and 3/50 respectively.

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