Q. 51

A box contains ca

Answer :

Total numbers of elementary events are: 75

(i) Let E be the event of drawing one-digit number


The favourable numbers are: 6, 7, 8, 9


Then, the favourable number of outcomes are = 4


P (one-digit number) = P (E) = 4/75


(ii) Let E be the event of drawing number divisible by 5


The favourable numbers are: 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70


The number of favourable events are = 13


P (number divisible by 5) = P (E) = 13/75


(iii) Let E be the event of getting an odd number less than 30


The favourable numbers are: 3, 5, 7, 11, 13, 17, 19, 23, and 29


Then, the number of favourable outcomes = 9


P (odd number less than 30) = P (E) = 9/75 = 3/25


(iv) Let E be the event of drawing composite number between 50 and 70


The favourable number are: 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70


The number of favourable outcomes = 17


P (composite number between 50 and 70) = P (E) = 17/75

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