Check My work Please Using the Classic Probability Formula

Question

Tickets numbered 1 to 10 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number, which is a multiple of 2 or 3? Please show work, indicating which formula for calculating probabilities have you used.

My Work (is it right) Using the Classic Probability Formula Let E = event of getting a multiple of 2 or 3 = {2, 4, 6, 8, 10, 3, 6 , 9} S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} P(E) = n(E) = 8 n(S) = 10 P(E) = 8/10

Answer 1

out of total 10 numbers, there are 7 numbers matched the criteria. {2,3,4,6,8,9,10}.

so the probability of drawing a card belong to this set is 7/10