Question

cards,marked with numbers 5 to 50 are placed in a box and mixed thoroughly. a card is drawn from the box at random. find the probability that the number on the taken out card is (1) a prime number less than 10. (2) a number which is a perfect square.

Answer 1

Total no. of cards = 46

(1) Prime nos. less than 10 and greater than or equal to 5 = 2 {5,7}

Probability = 1/23

(2) Perfect squares between 5 and 50 = 5 {9,16,25,36,49}

Probability = 5/46

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Answer 2

Prime numbers less than 10 and greater equal to 5 are 5 and 7

2 numbers

Total number = 46

The probability =

$\frac{2}{46} \\ \frac{1}{23}$

Answer for (1) = 1 out of 23 (on simplifying)

Perfect square less than 50 are

9,16,25,36,49

Total = 5

Probability =

$\frac{5}{46} \\ \frac{5}{46}$

Answer for (2) 5 out of 46

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