###### Asked in Math and ArithmeticProbability

Math and Arithmetic

Probability

# If you toss a coin four times how many possible outcomes are there?

## Answer

###### Wiki User

###### June 02, 2009 6:16AM

24 or 16

## Related Questions

###### Asked in Probability

### What is the probability of getting at least 2 heads in three flips of a fair coin?

In three flips of a fair coin, there are a total of 8 possible
outcomes: T, T, T; T, T, H; T, H, T; T, H, H; H, H, H; H, H, T; H,
T, H; H, T, T Of the possible outcomes, four of them (half)
contain at least two heads, as can be seen by inspection. Note: In
flipping a coin, there are two possible outcomes at each flipping
event. The number of possible outcomes expands as a function of the
number of times the coin is flipped. One flip, two possible
outcomes. Two flips, four possible outcomes. Three flips, eight
possible outcomes. Four flips, sixteen possible outcomes. It
appears that the number of possible outcomes is a power of the
number of possible outcomes, which is two. 21 = 2, 22 = 4, 23 = 8,
24 = 16, .... Looks like a pattern developing there. Welcome to
this variant of permutations.

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

### What is the outcome if two coins are tossed and one number cube is rolled?

Let's call one coin A and the other B. omes
The possible outcomes for the coins are; A heads and B tails, A
tails and B heads, A and B heads, A and B tails. That's four
outcomes.
The possible outcomes for a single die (as in dice) are six
since a die has six faces,
So four times six is twenty four possible outcomes.

###### Asked in Math and Arithmetic

### How many possible outcomes are there if you toss a fair coin four times?

Normally there would considered to be 2⁴ = 16 possible outcomes
as each outcome is one of 2 states: Head or Tails.
-------------------------
There is an extremely small probability that a normal coin will
end up on its edge, which mean there are 3⁴ = 81 possible outcomes.
However, this probability is so small that it is ignored and
normally only 2 outcomes are considered possible. As the radius to
width ratio of the coin changes, the probability of the coin ending
up on its edge changes, for some values being so significant that
it becomes a real probability that the edge can result, and for
some ratios it is almost always the edge that results and the
probability of head or tails (ie ends of the cylinder that is the
coin) is so small as to be ignored like the edge for a normal sized
coin (cylinder).

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

### How many possible outcomes if you toss a coin four times?

all heads
all tails
3 heads 1 tail
3 tails and 1 head
2h and 2t
i think only 5 but that's just what i can get
===============================================
The above answer is correct if you disregard the order of the
outcomes.
If the order of the outcomes matters, then the answer is:
2 x 2 x 2 x 2 = 16
since each toss has two possible outcomes (assuming the coin
cannot land on its side) and you repeat the toss four times.

###### Asked in Statistics

### If you toss a coin three times how many possible outcomes are there?

In three tosses there can be four possible outcomes: three
heads, three tails, two heads and one tail, and one head and two
tails. ^^^That is wrong
A coin is tossed N times. There are 2 possibilities when you toss a
coin: heads and tails.
So the formula is 2^N (thats to the N power)
A coin tossed 3 times has 2^3=8 possible outcomes:
head head head
head head tail
head tail head
tail head head
tail tail head
head tail tail
tail head tail
tail tail tail
There they are!

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

### How many possible outcomes for flipping 2 coins?

Assuming the coins are fair, two-sided coins, and landing on
their sides is not an option, there are four possible outcomes if
you consider coin a having a head and coin b having a tail being a
different instance from coin a being a tail and coin be having a
head. Here they are;
Coin A | Coin B
Heads | Tails
Heads | Heads
Tails....| Heads
Tails....| Tails

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

### What is the probability of exactly three heads in four flips of a coin given at least two are heads?

If you know that two of the four are already heads, then all you
need to find is
the probability of exactly one heads in the last two flips.
Number of possible outcomes of one flip of one coin = 2
Number of possible outcomes in two flips = 4
Number of the four outcomes that include a single heads = 2.
Probability of a single heads in the last two flips = 2/4 =
50%.

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

### What is the probability that a coin will land on tails 75 percent of the time if flip four times?

For 4 coin tosses, there are 16 possible outcomes. Tails on 75%
of 4 tosses is 3 times tails, and 1 time heads. This occurs in 4 of
those 16 possibilities, so the probability is 4/16 = 1/4 (or 25%).
But if the question is 'what is the probability that it's tails
at least 75% of the time, then you have to add in the 1
where all 4 are tails, then you have 5/16 (or 31.25%).

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