17 cards numbered 1, 2, 3, 4, ....., 17 are put in a box and mixed thoroughly. A card is drawn bears (i) an old numbers (ii) a number divisible by 5.

Question

Philoid · Accepted Answer

Total numbers of elementary events are: 17

(i) Let E be the event of getting an old number

The favourable odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17

Then, the numbers of favourable odd numbers are= 9

∴ P (getting an old number) = P (E) = 9/17

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

The favourable outcomes are: 5, 10, 15

Then, the number of favourable outcome are= 3

∴ P (getting a number divisible by 5) = 3/17