A camper lost in the woods points his compass in a random direction. Find the probability that the camper is heading in the N to NE direction.

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09-09-2022
Mathematics

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A camper lost in the woods points his compass in a random direction. Find the probability that the camper is heading in the N to NE direction.

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Yogeshkumari Yogeshkumari · Answer 1 · 2022-09-16T11:31:34+02:00

The probability that the camper is heading in the N to NE direction when a camper lost in the woods points his compass in a random direction is 1/8.

As given,

Compass is divided into 8 sectors N→NE→E→SE→S→SW→W→NW→N

Whole compass represents the circle with area 360 degrees

Area of each sector is equal to 45 degrees

Probability that the camper is heading in the N to NE direction

=45/360

=1/8

Therefore, the probability that the camper is heading in the N to NE direction when a camper lost in the woods points his compass in a random direction is 1/8.

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