Question

java

beginner level

NO ARRAYS in program

Flip a coin (Assignment)

How many times in a row can you flip a coin and gets heads?

Use the random number generator to simulate the flipping of the coin. 0 means heads, 1 means tails.

Start a loop,

flip it, if heads, count it and keep flipping.

If tails, stop the loop.

Display the number of times in a row that heads came up.

Once this is working, wrap a while loop around the loop that flips the coin to play again if the user says they want to.

Run and test this loop.

Sample Output: You flipped the coin and got HEADS 0 times in a row!

Want to try again? (Y or N) Y

You flipped the coin and got HEADS 3 times in a row!

Want to try again? (Y or N) N

Thank you for playing. Have a good day.

Answer #1

**Code**

```
import java.util.Scanner;
public class Flip {
public static void main(String[] args)
{
Scanner in = new Scanner(System.in);
while(true) //loop till enters N
{
int c=0;
while(true) //loop till tail flipped
{
int r=(int)(Math.random() * 2);
if(r==0)
{
c++;
}
else
{
break;
}
}
System.out.println("You flipped the coin and got HEADS "+c+" times in a row!");
System.out.print("Want to try again? (Y or N) ");
char ch=in.next().charAt(0);
if(ch=='N')
{
System.out.println("Thank you for playing. Have a good day.");
break;
}
}
}
}
```

**Terminal Work**

**.**

You are flipping a fair coin with one side heads, and the other
tails. You flip it 30 times.
a) What probability distribution would the above most closely
resemble?
b) If 8 out of 30 flips were heads, what is the probability of
the next flip coming up heads?
c) What is the probability that out of 30 flips, not more than
15 come up heads?
d) What is the probability that at least 15 out 30 flips are
heads?...

You flip a coin until getting heads. Let X be the number of coin
flips.
a. What is the probability that you flip the coin at least 8
times?
b. What is the probability that you flip the coin at least 8
times given that the first, third, and fifth flips were all
tails?
c. You flip three coins. Let X be the total number of heads. You
then roll X standard dice. Let Y be the sum of those...

If you flip a fair coin and get heads 10 times in a row, what is
the chance of getting tails on the next flip? Explain.

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and record your data.

If you flip a coin 56 times, how many times would you expect to
get either 3 heads or 3 tails?

Question 3: You are
given a fair coin. You flip this coin twice; the two flips are
independent. For each heads, you win 3 dollars, whereas for each
tails, you lose 2 dollars. Consider the random variable
X = the amount of money that you
win.
– Use the definition of expected value
to determine E(X).
– Use the linearity of expectation to
determineE(X).
You flip this coin 99 times; these
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You flip a fair coin. If the coin lands heads, you roll a fair
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) Flip a coin 100 times. Please Show your work below. a) How
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Heads or Tails?

If I tell you that I have a coin, but it is a special coin. In
that, I mean that it is not a 50/50 coin. However, I don't know how
likely it is for it to land on heads (or tails). So we decide to
flip it 10 times and we get 40% heads (which is 0.40 as a
proportion). Are you willing to say that it is a 40/60 coin? Why or
why not?
after we flipped it...

Suppose you flip a fair coin six times where A is the number of
tails and B is the number of heads. Prove if E(X*Y) is not equal to
E(X)E(Y).

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