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  • (i)Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has an even number

Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has

(i) an even number
(ii) a square number

Answers (1)

(i) Answer. [1/2]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total numbers from 2 to 101 = 100
Total even numbers from 2 to 101 = 50
Favourable cases = 50
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability that card is with even number = \frac{50}{100}= \frac{1}{2}

(ii) Answer.  [9/100]
Solution. Probability; Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Total number from 2 to 101 = 100
Square numbers from 2 to 101 =  (4, 9, 16, 25, 36, 49, 64, 81, 100)
Favourable cases = 9
Probability = \frac{Number\, of\, favourable\ cases }{Total\, number\, of\, cases}
Probability that the card is with a square number = \frac{9}{100}

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