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Answer:
The experimental probability of throwing a five is 0.087.
Step-by-step explanation:
Given:
Number of trials (n) = 100
Number of times 5 appears (x) = 14
Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.
Probability of success is given as:
Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,
Now, probability of failure is given by the formula:
Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:
Plug in all the given values and find the probability of 14 successes. This gives,
Therefore, the experimental probability of throwing a five is 0.087.