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## Related Questions

###### Asked in Probability

### What is the probability of getting five tails in a row?

The probability of getting five tails in a row is 1/2^5, or 1 in
32.
The probability of getting five heads in a row is 1/2^5, or 1 in
32.
Thus, the probability of getting either five heads
or five tails in five tosses is 1 in 16.
(The caret symbol means "to the power of," as in 2^5 means "2
to the 5th power.")

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

### A coin is tossed 4 times. What is the probability of getting tails 4 times in a row?

The probability to get tails once is 1/2 (for a fair coin)
The probability to get tails twice = the probability to get it
once x the probability to get it a second time
The probability to get tails 4 times in a row is (1/2)4=1/16
The probability to get tails n times in a row is (1/2)n=1/2n
The same thing is also true for heads (same probability: 1/2
each time)

###### Asked in Probability

### What is the probability of obtaining exactly four tails in five flips of a coin given that at least 3 are tails?

Pr(4 tails | at least 3 tails) = Pr(4 tails and at least 3
tails)/Pr(at least 3 tails)
= Pr(4 tails)/Pr(at least 3 tails)
= (5/32) / (1/2) = 5/16.
Pr(4 tails | at least 3 tails) = Pr(4 tails and at least 3
tails)/Pr(at least 3 tails)
= Pr(4 tails)/Pr(at least 3 tails)
= (5/32) / (1/2) = 5/16.
Pr(4 tails | at least 3 tails) = Pr(4 tails and at least 3
tails)/Pr(at least 3 tails)
= Pr(4 tails)/Pr(at least 3 tails)
= (5/32) / (1/2) = 5/16.
Pr(4 tails | at least 3 tails) = Pr(4 tails and at least 3
tails)/Pr(at least 3 tails)
= Pr(4 tails)/Pr(at least 3 tails)
= (5/32) / (1/2) = 5/16.

###### 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%).

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

### If you flip a coin 5 times what is the probability that the results are all heads or all tails?

The probability of getting all heads or all tails in 5 flips of
a coin is 1 in 16.
The probability of getting a head or a tail on the first flip is
1 in 1. The probability of each of the following coins matching the
first coin is 1 in 2. Simply multiply the five probabilities (1 in
1) (1 in 2) (1 in 2) (1 in 2) (1 in 2) and you get 1 in 16.
It is true that the probability of getting all heads is 1 in
32, and the probability of getting all tails is also 1 in 32. Since
the question asked the probability of both cases (all heads or all
tails), the answer is 1 in 16.

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