1.

A game of chance consists of spinning an arrow on a circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1,2, 3 (Fig.), which are equally likely What is the probability that the atrow outcomes Wi at (i) an odd number (ii) a number greater than 3 (iii) a number less than 9

Answer» Here, total number of outcomes`(n(S)) = 8`
(i) Number of possible outcomes that arrow will point at odd number ` = 4`
`:.` Probability that arrow will point at odd number ` = 4/8 = 1/2`

(ii)Number of possible outcomes that arrow will point at a number greater than `3 = 5`
`:.` Probability that arrow will point at a number greater than `3 = 5/8`

(iii)Number of possible outcomes that arrow will point at a number less than `9 = 8`
`:.` Probability that arrow will point at a number less than `9 = 8/8 = 1`


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