A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8 and these are equally likely outcomes. What is the probability that it will point at 1) 8? 2) an odd number? 3)a number greater than 2? 4) a number less than 9?
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5
1) 1/8
2) 1/2
3) 3/4
4) 1
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Ans. Out of 8 numbers, an arrow can point any of the numbers in 8 ways.
Total number of favourable outcomes = 8
(i) Favourable number of outcomes = 1
Hence, P (arrow points at 8) =
(ii) Favourable number of outcomes = 4
Hence, P (arrow points at an odd number) =
(iii) Favourable number of outcomes = 6
Hence, P (arrow points at a number > 2) =
(iv) Favourable number of outcomes = 8
Hence, P (arrow points at a number < 9) = =1
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