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Hee the random number table at the left to simulate tossing a coin 50 times. Find the experntental piobability that the outcome of a coin toss is heads

User Magqq
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Final answer:

The experimental probability of getting heads in a coin toss can be found through simulation, dividing the number of heads by the total number of tosses. This figure may differ from the theoretical probability initially but will tend to approach the theoretical likelihood with increased trials due to the law of large numbers.

Step-by-step explanation:

The question asks for the experimental probability of getting heads when tossing a coin 50 times using a random number table. In mathematics, especially in the subject of probability, the experimental probability is determined by conducting an experiment and recording the outcomes. In the context of a fair coin, the theoretical probability of getting a head is always 0.5 (or 50%). However, when actually tossing a coin, the results may vary. The experimental probability is found by dividing the number of times an event occurs (in this case, heads coming up) by the total number of trials (50 coin tosses).

To simulate 50 coin tosses using a random number table, you would assign numbers to represent heads or tails (for example, even numbers for heads and odd numbers for tails), and then count how many times an even number appears in 50 selections from the table. Suppose you get 28 heads. The experimental probability of getting heads would thus be 28/50 or 0.56. As mentioned in the provided information, according to the law of large numbers, the more you toss the coin, the closer the experimental probability will get to the theoretical probability of 0.5.

User Carlos Drew
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