Question

It is equally probable that the pointer will land on any one of the eight regions. If the pointer lands on a borderline, spin again. If the pointer is spun three times, find the probability that it will land on yellow every time.

a) Various probability values
b) 1/8
c) 1/64
d) 1/512

Answer 1

The probability of the pointer landing on yellow every time after three spins is 1/512.

Step-by-step explanation:

To find the probability that a pointer will land on yellow every time it is spun three times, given that there are eight regions and it is equally probable to land on any one of them, we calculate the probability of landing on yellow once and then raise that to the power of three for the consecutive spins.

The probability of landing on the yellow region in one spin is 1/8. To have this happen three times in a row, we multiply the individual probabilities: (1/8) × (1/8) × (1/8) = 1/512. Therefore, the correct answer is d) 1/512.