SOLUTION: In toasting three fair coins at once. what is the probability of getting 1. at most two heads 2. at least one head 3. more heads than tails 4. no head 5. exactly two heads

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Question 344014: In toasting three fair coins at once. what is the probability of getting
1. at most two heads
2. at least one head
3. more heads than tails
4. no head
5. exactly two heads

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at all of totality of outcomes.
There are 2%5E3 or 8 of them.
1.H H H
2.H H T
3.H T H
4.H T T
5.T H H
6.T H T
7.T T H
8.T T T
Now that you have all of the outcomes, you can answer all of your questions.
1. "at most two heads"-Means 2 H or less.
Count the number of outcomes that have 2 H or less.
There are 7 possible outcomes(2,3,4,5,6,7,8).
The probability is possible outcomes divided by total outcomes.
P=7%2F8
.
.
.
2. At least 1 H- Again there are 7 of them (1,2,3,4,5,6,7)
P=7%2F8
.
.
.
Now complete the remaining questions in a similar way.