List (iv) {0, 1, 2, 3} is the correct sample space because three tossed coins can yield 0, 1, 2 or 3 heads. The other lists either omit possible outcomes or include an impossible outcome.
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A coin has outcomes {H, T} and the cards have numbers {1, 2, 3, 4, 5, 6}. The complete sample space consists of 12 pairs: S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, ...
The correct term is relative frequency and its value is 15 / 50 = 3 / 10 = 0.3. While 15 is the absolute count (frequency), dividing by the total 50 students gives the relative frequency.
Labeling fruits as A1, O1, O2 for basket A and B1, M1 for basket B gives 6 equally likely outcomes. The sample space is {(A1, B1), (A1, M1), (O1, B1), (O1, M1), (O2, B1), (O2, M1)}. P(Apple, Banana) = 1/6.
Experimental probability is 3/12 = 1/4 = 0.25, while theoretical probability is 1/6 (about 0.167). They differ due to a small trial sample; with 6000 rolls, experimental probability approaches theoretical probability by the Law of Large Numbers.