There is a bag with three balls numbered 1 to 3. There is also a pack...

 

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There is a bag with three balls numbered 1 to 3. There is also a pack of three cards lettered K, Q, and J. As a trial of an experiment, a ball was chosen and a card drawn. The number (1 to 3) of the ball and the letter (K, Q, or J) of the card drawn were recorded. Here is a summary of the data from 1050 trials. Outcome 1K 2K 3K 10 20 30 1J 2J 3.1 Number of trials 127 119 115 109 117 118 117 109 119 Answer each part. (a) Assuming the ball was chosen and the card was drawn at random, find the theoretical probability of this event: both choosing the 2 or 3 ball and drawing a Q or J card, in a single trial. Round your answer to the nearest thousandth. (b) Use the data to find the experimental probability of this event: both choosing the 2 or 3 ball and drawing a Q or J card, in a single trial. Round your answer to the nearest thousandth. (c) Choose the statement that is true. With a large number of trials, there must be a large difference between the experimental and theoretical probabilities. With a large number of trials, there must be no difference between the experimental and theoretical probabilities. With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small, is There is a bag with three balls numbered 1 to 3. There is also a pack of three cards lettered K, Q, and J. As a trial of an experiment, a ball was chosen and a card drawn. The number (1 to 3) of the ball and the letter (K, Q, or J) of the card drawn were recorded. Here is a summary of the data from 1050 trials. Outcome 1K 2K 3K 10 20 30 1J 2J 3.1 Number of trials 127 119 115 109 117 118 117 109 119 Answer each part. (a) Assuming the ball was chosen and the card was drawn at random, find the theoretical probability of this event: both choosing the 2 or 3 ball and drawing a Q or J card, in a single trial. Round your answer to the nearest thousandth. (b) Use the data to find the experimental probability of this event: both choosing the 2 or 3 ball and drawing a Q or J card, in a single trial. Round your answer to the nearest thousandth. (c) Choose the statement that is true. With a large number of trials, there must be a large difference between the experimental and theoretical probabilities. With a large number of trials, there must be no difference between the experimental and theoretical probabilities. With a large number of trials, there might be a difference between the experimental and theoretical probabilities, but the difference should be small, is