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Question
A box contains tokens numbered 5 to 16. A token is drawn at random. Find the probability that the token drawn bears a number divisible by:
- 5
- Neither by 2 nor by 3
Solution
S = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
Total no. of tokens = 12
(a) Favourable outcomes = {5, 10, 15}
P (No. divisible by 5) = `("No. of favourable outcomes")/("Total no. of possible outcomes")`
`= 3/12 = 1/4`
(b) Favourable outcomes = {5, 7, 11, 13}
P(neither divisible by 2 nor by 3) = `4/12 = 1/3`
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