Step 1 :Given that Raina spun the dial 1000 times and got the following results: 406 times on white, 384 times on grey, and 210 times on black.
Step 2 :To calculate the experimental probability of landing on grey, we divide the number of times the spinner landed on grey by the total number of spins. This gives us \(\frac{384}{1000} = 0.384\).
Step 3 :The spinner has 5 equally sized slices, so if the spinner is fair, the theoretical probability of landing on any given slice is \(\frac{1}{5} = 0.2\).
Step 4 :Therefore, the experimental probability of landing on grey is \(\boxed{0.384}\) and the theoretical probability of landing on grey is \(\boxed{0.2}\).