Coin flipping: probability of getting Heads, Tails, Heads

hannahbanana26

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If you were to flip your coin again three times, what is the probability that you would obtain the same results as you did in part C in the same order?

Part C:
Flip your coin three times. What were your results? Heads, Tails, Heads


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Also have this question ....

If you were to flip your coin again three times, what is the probability that you would obtain the same results as you did in part C in the same order?
 
Well, okay, so your problem basically comes down to "What is the probability of flipping 3 coins and getting the result Heads, Tails, Heads?" As you (should) know, the probability of a particular combination happening is equal to the number of ways it can happen divided by the total number of combinations possible. So, now you have to ask yourself, how many combinations are there with three coin flips? Think about how many outcomes one coin flip has. Then, think about if you add a second coin. If you need to, maybe list all the possibilities. Do you see a pattern? What does all of that mean about the answer to your problem?
 
Part C: Flip your coin three times. What were your results? Heads, Tails, Heads

If you were to flip your coin again three times, what is the probability that you would obtain the same results as you did in part C in the same order?
How many results are possible for three flips of a fair coin? (Hint: Multiply.)

How many of those results match the required conditions? (Hint: Count.)

What then is the probability of matching the required conditions? (Hint: Divide.)

;)
 
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