A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giving your answer as a fraction in its lowest terms.

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.

44

step-by-step explanation:

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225