Answer:
F, T, T, T, T, F
Step-by-step explanation:
Given a table of results from an experiment in which two cards are drawn for each of 60 trials from a bag of 2 circle cards and 2 square cards, without replacement, you want to know which statements are correct.
A. Outcome tree
The outcome tree fails to show yellow cards being drawn on the first draw. It is incomplete. Not True.
B. Sum of probabilities
We assume that the 60 results recorded are the results of all the trials that Nyra conducted. Hence the sum of the experimental probabilities will be 100%. True.
C. 2 Circles
The result that 2 circles were drawn was obtained for 12/60 = 20% of the trials. The experimental probability of 2 circles is 20%. True.
D. 1 Square 1 Circle
This outcome was recorded for 40 of 60 trials, or 2/3 of them. The experimental probability of this outcome is 2/3. True.
E. 60 trials
The results of 60 trials are recorded. As stated elsewhere, we assume this is the total of trials Nyra conducted. So, Nyra's experiment had 60 trials. True.
F. Independent events
Keeping the first card out of the bag changes the mix of cards available for the second draw. It is different than for the first draw, and that difference depends on the result of the first draw. The results of each draw are not independent. Not True.
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Additional comment
The "experimental probability" of an event is the fraction of trial results where that event occurred. It is often different from the theoretical probability. Assuming a trial always results in an event on the list of outcomes, the sum of experimental probabilities is always 1 (100%). For example, flipped coins *never* land on edge.
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