Answer:
(a) 0.413
(b) 0.400
(c) 1 — ... the difference should be small
Explanation:
Given a table of experimental results from 1000 spins and a diagram of a spinner, you want the experimental and theoretical probabilities of landing on Red. You also want a statement comparing them.
(a) Experimental
The table tells you 1000 experiments resulted in 413 reds. The experimental probability of landing on red is ...
413/1000 = 0.413
(b) Theoretical
The diagram of the spinner shows 10 equal segments, of which 4 are red. The theoretical probability of landing on red is ...
4/10 = 0.400
(c) Comparison
The presumption in statistics is that any experiment repeated a sufficient number of times should see experimental results approaching theoretical results. We expect a small difference between experimental and theoretical results for a large number of trials.