1- Suppose you flip a fair well balanced coin. List all possible outcomes. What
ID: 3128187 • Letter: 1
Question
1- Suppose you flip a fair well balanced coin. List all possible outcomes. What are chances to get a head? Explain.
2- Suppose that you will flip a fair coin twice. List all possible outcomes. What is the chance to get two heads? What is the chance to get at least 1 head?
3- Find a quarter, flip it 20 times and record outcomes. Suppose now you will flip your coin one more time. How likely you will get a head? Suppose you had all 20 heads out of 20 flips. How likely you will get a head on your next flip?
Explanation / Answer
1.
When we flip a fair coin only two outcomes are possible : one is head (H) and one is tail (T). So sample space is
S = {H, T}
The chance of getting a head is 1/2.
2.
When we flip a coin twice following will be the sample space:
S = {HH, HT, TH, TT}
The chance of getting 2 heads is 1 /4
We can get at least 1 head in three outcomes HH, HT, TH so the chance of get at least 1 head is 3/4.
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