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If you flip three fair coins, what is the probability that you'll get a tail on the first flip, a head on the second flip, and another tail on the third flip?

Respuesta :

elcharly64

Answer:

12.5%

Step-by-step explanation:

Probabilities

When flipping three fair coins, we can get the following events, being H=Heads, T=Tails

[tex]\Omega=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}[/tex]

We are looking for the probability of only one specific outcome: THT. The probability to get exactly that combination one out of 8 possible results, that is

[tex]\displaystyle P=\frac{1}{8}=0.125[/tex]

The probability to get a tail on the first flip, a head on the second flip, and another tail on the third flip is 12.5%

97845

probability of first flip being tails = 1/2

probability of second flip being heads = 1/2

probability of 3rd flip being tails = 1/2

probability of all happening = 1/2 * 1/2 * 1/2 = 1/8

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