A prize wheel at a school fair is divided into four sectors: a pen sector of 45 degrees, a notebook sector of 75 degrees, an eraser sector of 90 degrees and a 'Try again' sector of 150 degrees. The wheel is spun once and stops at a random position. What is the probability of winning a pen?

Question

Accepted Answer

1/8. The sectors are unequal, so probability goes by angle, not by number of sectors: the four angles add to 45 + 75 + 90 + 150 = 360 degrees. P(pen) = 45/360 = 1/8. 1/4 treats the four sectors as equally likely; 5/24 is the notebook sector's 75/360; 5/12 is the 'Try again' sector.

A prize wheel at a school fair is divided into four sectors: a pen sector of 45 degrees, a notebook sector of 75 degrees, an eraser sector of 90 degrees and a 'Try again' sector of 150 degrees. The wheel is spun once and stops at a random position. What is the probability of winning a pen?

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