###### Asked in Probability

Probability

# What are all the possible outcomes for flipping or tossing three coins a dime a nickel and a penny in an organized manner and how would a tree diagram show these results?

## Answer

###### Wiki User

###### February 02, 2009 2:57PM

There are eight possible results when flipping three coins (eliminating the highly unlikely scenario of one or more coins landing on their edge): Dime - Heads / Nickel - Heads / Penny - Heads Dime - Heads / Nickel - Heads / Penny - Tails Dime - Heads / Nickel - Tails / Penny - Heads Dime - Heads / Nickel - Tails / Penny - Tails Dime - Tails / Nickel - Heads / Penny - Heads Dime - Tails / Nickel - Heads / Penny - Tails Dime - Tails / Nickel - Tails / Penny - Heads Dime - Tails / Nickel - Tails / Penny - Tails

## Related Questions

###### Asked in Math and Arithmetic, Statistics, Probability

### How do you find probability from a probability generating function?

you ether use a graph tree diagram or web diagram to answer the
possible outcomes of the question possible outcomes meaning the
number of outcomes the person will have in the probability or
divide the number of favourable outcomes by the number of possible
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###### Asked in Math and Arithmetic

### What does tree diagram mean in math?

A tree diagram is a tool, in probability theory, that helps list
all the possible outcomes of a trial and calculate their
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all the possible outcomes of a trial and calculate their
probabilities.
A tree diagram is a tool, in probability theory, that helps list
all the possible outcomes of a trial and calculate their
probabilities.
A tree diagram is a tool, in probability theory, that helps list
all the possible outcomes of a trial and calculate their
probabilities.

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###### Asked in Statistics, Probability

### What is a situation where there are 12 possible outcomes?

William has 4 shirts that he can wear with a choice of 3
different pants. He has 12 different possible outcomes.
Why there are 12 possible outcomes: There are twelve possible
outcomes because 4 multiplied by 3 is 12. This is called algorthim.
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There are plenty ways to get or find how many outcomes there
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Hope i helped! :)

###### Asked in Math and Arithmetic

### When A game involves rolling 2 dice. draw a tree diagram to show all of the possibilities.?

A tree diagram for 2 dice is not a sensible approach to the
question. You have the starting point from which there are six
primary branches representing the six possible outcomes for the
first die. Then, from each of these end-points there are six
secondary branches representing the outcomes for the second die.
This makes a total of 36 secondary branches and no sensible person
would draw such a tree diagram: a 6x6 table is a much better way to
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###### Asked in Math and Arithmetic, Statistics, Probability

### How many possible outcomes of tossing a coin and rolling a 6-sided number cube with a tree diagram?

There are 12 possible outcomes:
.......................................................
............................./---- 1 = H + 1 .....
............................/..........................
.........................../../--- 2 = H + 2 .....
........................../../.........................
........................./../../-- 3 = H + 3 .....
.............../-- H _/_/_/.........................
............../.........\..\..\-- 4 = H + 4 ......
............./...........\..\..........................
............/.............\..\--- 5 = H + 5 ......
.........../...............\...........................
........../.................\---- 6 = H + 6 ......
........./.............................................
.........\.............................................
..........\................./---- 1 = T + 1 ......
...........\.............../...........................
............\............./../--- 2 = T + 2 ......
.............\.........../../..........................
..............\........./../../-- 3 = T + 3 ......
...............\-- T _/_/_/.........................
........................\..\..\-- 4 = T + 4 ......
.........................\..\..........................
..........................\..\--- 5 = T + 5 ......
...........................\...........................
............................\---- 6 = T + 6 ......
.......................................................

###### Asked in Probability

### Can you use a tree diagram to calculate the probability that the sum of the dice is an even number?

Yes, it is possible, but it is far easier to simply sit and
think about the problem for a bit. For the sum of two numbers to be
even, their parities must be the same (i.e. they must either be
both even or both odd).
If you roll a die, and it comes out to be even, then the other
die must also be even for the sum to be an even number. The same is
true if the die comes out to be odd. Then you can make sort of a
generalized tree diagram, where you group outcomes together. Then
the two possible outcomes for a die are even and odd.
If you construct a tree diagram, it will split into two branches,
with one even and the other odd. The same will occur for each of
these branches, with a total of four branches at the end. Half of
them will satisfy your requirement; that is, in half of all
outcomes the sum of the dice is an even number.
Sorry for the rather unnecessarily verbose answer.