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There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn: 

i. shows an even number. 

ii. shows a number which is a multiple of 5.

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Best answer

Sample space,

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,14, 15} 

∴ n(S) = 15

i. Let A be the event that the ticket drawn shows an even number.

∴ A = {2, 4, 6, 8, 10, 12, 14} 

∴ n(A) = 7

ii. Let B be the event that the ticket drawn shows a number which is a multiple of 5.

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