Question

4. Use Monte Carlo simulation to approximate the probability of three heads ocurring when five fair coins are flipped. Do a sufficient number of trials to have a meaningful result.

Answer 1

solution:

Lets perform the above experiment 10000 times times using a python code.

lets understand the program

noOfTrial = 10000 which means we conduct the experiment 10000 times.

noOfToss = 5 which means each time we flip the coin 5 times

in each flip the program either generates a 0 or 1 randomly using randint(0,1)

we onsider a 0= tail and 1 = head

now we want exactly 3 heads and remaining 2 will be tail

so sum of result should be exactly 3

for eg 01011 or 11001 are favorable outcomes and divided by noOfTrials (10000) to find out the probability

lets run the monte carlo simulation program

the probability turns out to be 0.3087

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