SOLUTION: Results: Heads: 9 Tails: 11 Background info: You play a game where if you can correctly guess the results of four coin tosses, you win. Question: You decide that for the n

Algebra ->  Probability-and-statistics -> SOLUTION: Results: Heads: 9 Tails: 11 Background info: You play a game where if you can correctly guess the results of four coin tosses, you win. Question: You decide that for the n      Log On


   



Question 1157419: Results:
Heads: 9
Tails: 11
Background info:
You play a game where if you can correctly guess the results of four coin tosses, you win.
Question: You decide that for the next game you are going to guess Heads, Tails, Tails, Heads. Using the results of your experiment, how likely are you to win the game?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming a probability (experimental) or 0.45 for heads and 0.55 or tails
This would be 0.45*0.55*0.55*0.45=0.0613
Not stated, but relevant, is the background toss is quite likely to give 9/11 even for a fair coin. The probability of 1/2 for 4 tosses is 1/16 or 0.0625.
The answer to the question asked is not very likely with those probabilities.