A coin is flipped 8 times find the probability of the event exactly 6 heads

Question

HelpASAP · Answer

(1/2)^8=0,0039 
This makes 0.39%
When rounded, it makes the answer 0.0004
Lmk if this helped at all :)

mxddi3 · Answer

i know i didn't ask the question, but, could you explain this, i'm lost. @HelpASAP

HelpASAP · Answer

@mxddi3 I would explain this to you, but sadly im not sure how lol I am just a teen working on APEX and thought I would help a few out but as soon as I am able, I will type up a proper explanation sis

mxddi3 · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @HelpASAP
@mxddi3 I would explain this to you, but sadly im not sure how lol I am just a teen working on APEX and thought I would help a few out but as soon as I am able, I will type up a proper explanation sis
$\color{#0cbb34}{\text{End of Quote}}$
lol, okay. Thank you !

Vocaloid · Answer

old question, answering to close.

disagree with the previous response, as it only calculated the probability of 8 heads or 8 tails.

we want exactly 6 heads.

probability of 6 heads: (0.5)^6
probability of 2 tails: (0.5)^2
there are (8 choose 6, or 8C6) ways of getting this result, so in finality we have: (8C6)(0.5)^6(0.5)^2 = 0.109375