SOLUTION: Make a table showing all possible outcomes of tossing four coins at once. Then, make a table showing the probability distribution for the events 4 heads, 3 heads, 2 heads, 1 heads,

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Question 229303: Make a table showing all possible outcomes of tossing four coins at once. Then, make a table showing the probability distribution for the events 4 heads, 3 heads, 2 heads, 1 heads, and 0 heads. Then, answer the following questions:
a. What is the probability of getting two heads and two tails when you toss four coins at once?
b. What is the probability of tossing anything except four heads when you toss four coins at once?
c. Which event (a or b above) is most likely to occur?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Make a table showing all possible outcomes of tossing four coins at once. Then, make a table showing the probability distribution for the events 4 heads, 3 heads, 2 heads, 1 heads, and 0 heads.
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You should really do this for yourself so you can see what a sample
space looks like. Your table should contain 16 items, starting with
hhhh and ending with tttt.

Then, answer the following questions:
a. What is the probability of getting two heads and two tails when you toss four coins at once?
hhtt/thht/tthh/htth/thth/htht
Prob = 6/16 = 3/8
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b. What is the probability of tossing anything except four heads when you toss four coins at once?
Prob = 15/16
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c. Which event (a or b above) is most likely to occur?
Ans: b
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Cheers,
Stan H.