SOLUTION: 5. A random experiment consists of tossing three fair coins and recording whether each coin lands heads up or tails up. Write the sample space for this experiment. Now, three f

Question 1071497: 5. A random experiment consists of tossing three fair coins and recording whether
each coin lands heads up or tails up. Write the sample space for this experiment.
Now, three fair coins are tossed at the same time. What is the probability of getting exactly two heads?
Lastly, three fair coins are tossed and the number of heads recorded. Write the probability distribution for this random experiment.

(I'm sorry this one is so long-winded. I'm in a self-study program and no matter how I try or the resources I use-- if you have any please let me know!-- I struggle to comprehend probability).
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Sample space is {HHH,HHT,HTH,THH,TTH,THT,HTT,TTT}
Probability of 2 heads is 3/8
This is a binomial, and it is 1===3===3===1 for 3 heads, 2 head, 1 head, 0 heads. There are 8 possibilities, and 1 is all heads, 3 for 2 heads, 3 for 1 head, and 1 for all tails.
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