# A game consists of spinning an arrow which comes to rest pointing at one of the regions (1, 2 or 3) (Fig.). Are the outcomes 1, 2 and 3 equally likely to occur? Give reasons

Solution.     Probability: probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here 3 contain 50% of the region and 1, 2, contain 25%, 15% of the region.

$Probability= \frac{Number\, of\, favorable\ cases }{Total\, number\, of\, cases}$
$Probability\, of\, 3= \frac{50}{100}= \frac{1}{2}$
$Probability\, of\, 1= \frac{25}{100}= \frac{1}{4}$
$probability\, of\, 2= \frac{25}{100}= \frac{1}{4}$
All probabilities are not equal. So the given statement is false.

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