Find the probability of obtaining exactly one tail when flipping nine coins. Express your as fraction terms on a rounded the nearest millionth

Respuesta :

Answer:0.017578

Step-by-step explanation:

Given

Nine coins are flipped

So the probability of getting a tail is [tex]\frac{1}{2}[/tex]

Because on flipping a coin could either yield Head or tail

so getting a tail on nine trails is [tex]\frac{1}{2^9}[/tex]

but this tail can come on first coin or second or third ....

So there are 9 possible ways

So probability of getting a tail on flipping nine coin is [tex]9\times \frac{1}{2^9}[/tex]

[tex]=\frac{9}{2^9}=0.017578[/tex]