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Two dices are thrown simultaneously to get the co-ordinates of a point on(x,y) plane. Find the probabilty taht this point lies on or inside the region bounded by |x|+|y|=3 .

Two dices are thrown simultaneously to get the co-ordinates of a point on(x,y) plane. Find the probabilty taht this point lies on or inside the region bounded by |x|+|y|=3 .

Grade:12

2 Answers

Chetan Mandayam Nayakar
312 Points
9 years ago

Dear Debjit,

{x,y}={1,2},{2,1},{1,1}

answer=2*(1/62)+(1/62)

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CHETAN MANDAYAM NAYAKAR

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Debjit,

 

Out of the total possibilities of 36 outcomes, the ones that satisfy |x|+|y| = 3,

would be (1,1) (1,2) (2,1).

 

So 3 favourable ways out of a total of 36 outcomes.

 

Hence Probability = 3/36 = 1/12.

 

Hope this helps.

 

Best Regards,

Ashwin (IIT Madras).

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