Q2 of 98 Page 696

A box contains cards numbered 3, 5, 7, 9, ...., 35, 37. A card is drawn at random from the box. Find the probability that the number on the card is a prime number.

Total numbers of elementary events are: 18

(3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, , 27, 29, 31, 33, 35, 37)


The favourable prime number cards in the box are: 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37


The numbers of favourable outcomes = 11


∴ P (prime number) = P (E) = 11/18


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