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. Find the probability that the arrow will point at any
factor of 8.
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3
Answer:
No. Of events = 1,2,3,4,5,6,7,8
Factors of 8 = 1, 2 , 4 and 8
Therefore, Probability =4/8
=1/2
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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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