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A Game of Chance Consists of Spinning an Arrow Which is Equally Likely to Come to Rest Pointing to One of the Number, 1, 2, 3, ..., 12 as Shown in Fig. Below. What is the Probability that It Will Point To An Odd Number? - Mathematics

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Question

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the probability that it will point to an odd number?

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Solution

Total no. of possible outcomes = 12 {1, 2, 3,…., 12}

Let E ⟶ event of pointing at an odd no.

No. favourable outcomes = 6 {1, 3, 5, 7, 9, 11}

P(E) =`"No.of favorable outcomes"/"Total no.of possible outcomes"`

P(E) =6/12 =1/2

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