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# Probability and Statistics: Coin Flipping Project

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The project below involves using a computer simulator to virtually flip multiple coins. First, we'll flip 4 coins 20 times, then we'll flip 4 coins 10000 times.

I have taken screenshots of my results with the coin-flipper (attached) but need some help with the questions.

Questions for flipping 4 coins 20 times:

7) Based on these results, what is the likelihood of getting:
e. Press Clear

Questions for flipping 4 coins 1000 times:

8) Repeat question 7 for the 1000 flips.

9) Compute the theoretical probabilities for the likelihood of getting:

10) How do the likelihoods at 20 flips compare to 10000 flips and then to the theoretical? What idea in statistics explains this behavior and Why?

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#### Solution Preview

7) Based on these results, what is the likelihood of getting:
a. Zero Heads 5%
b. One Head Two Heads 35%, 35%
c. Three Heads 25%
d. Four Heads 0%

I'm looking at the first screenshot, where you flipped the coin 20 times. From that image, we can see that the chance of getting 0 heads is 5.00%, the chance of getting 1 head is 35.00%, the chance of getting 2 heads is 35.00%, the chance of getting 3 heads is 25.00%, and the chance of getting 4 heads is 0.00%.

8) Repeat question 7 for the 1000 flips.

I'm looking at the second screenshot, where you flipped the coin 10000 times. From that image, we can see that the chance of getting 0 heads is 6.39%, the chance of getting 1 head is 24.60%, the chance of getting 2 heads is 37.88%, the chance of getting 3 heads is 24.90%, and the chance of ...

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