A bag contains tickets numbered 11, 12, 13, ..., 30. A ticket is taken out from the bag at random. Find the probability that the number on the drawn ticket (i) is a multiple of 7 (ii) is greater than 15 and a multiple of 5.
GIVEN: Tickets are marked with one of the numbers 11, 12, 13…30 are placed in a bag and mixed thoroughly. One ticket is picked at random.
TO FIND: Probability of getting
(i) multiple of 7
(ii) greater than15 and multiple of 5
Total number of cards is 
(i) Numbers that are multiple of 7 are 7, 14, 21 and 28
Total numbers that are multiple of 7 from 11 to 30 is 4
We know that PROBABILITY = 
Hence probability of getting number that is multiple of 7 from 11 to 30 is 
(ii) Numbers that are greater than 15 and multiple of 5 are 20,25,30
Total numbers that are greater than 15 and multiple of 5 from 11 to 30 is 3
We know that PROBABILITY =
Hence probability of getting numbers that is greater than 15 and multiple of 5 from 11 to 30 