# Probability and Statistics: Coin Flipping Project

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:

a. Zero Heads

b. One Head

c. Two Heads

c. Three Heads

d. Four Heads

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:

a. Zero Heads

b. One Head

c. Two Heads

d. Three Heads

e. Four Heads

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 ...