Combinatorics problem. A web site was hit 300 times over a period of 15 days Show that over some period of 3 consecutive days, i
1 answer:
Answer:
There is a period of 3 consecutive days in which the website was hits at least 60 times.
Step-by-step explanation:
A web site was hit 300 times over a period of 15 days.
To solve this question we will use the Pigeonhole Principle.
Here, n = 300 and k = 5
We will find to get that there is a hole with at least
pigeons.
Hence, there is a period of 3 consecutive days in which the website was hits at least 60 times.
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Answer:
Theoretical probability = 50%
Experimental probability varies.
See below for explanation.
Step-by-step explanation:
This is a problem on theoretical and experimental probability. The results obtained would enable you understand their differences.
The theoretical probability is the result that is expected to happen, but it isn't always what eventually happens.
The theoretical probability of a coin landing on heads is ½ or 50%. This is same for tails.
The experimental probability is the probability obtained from carrying out the experiment. As this is the result of what actually happens, the experimental probability could be lesser or greater than or equal to 50%.
You are required to carry out the experiment. This is because the result would vary from person to person as well as from one experiment to the other.
First, make a table for the number of trials, outcome (head and tail each) and the frequency. Pen down the result for each of the experiment carried out. You can use a tally to make it easy for compilation.
See attachment for table.
Theoretical probability of 10 trials:
Head= 5, tail = 5
Theoretical probability of 30 trials:
Head= 15, tail = 15
Theoretical probability of 100 trials:
Head= 50, tail = 50
It all amount to 50% each
So do your experiment and record the results. Afterwards compare your result which is the experimental probability
for head and tail with the theoretical theoretical.
Also compare your result with that of your classmate.
