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my bad for posting 3 questions on 1 post, but I am confused and need help 

1. An unfair coin shows heads 2/3 of the time. What is the probability that it shows heads exactly five out of seven flips? Answer should be a common fraction. 

 Mar 19, 2021
 #1
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Hello Jenny :))

 

So we need to calculate the probability it shows heads 5 and 2 tails. 

That's just 7!/5!/2! = 21. 

So there are 21 ways of ordering it. 

Now the probability that one of these sequence happens is (2/3)^5*(1/3)^2. 

So our answer is (21)*(2/3)^5*(1/3)^2

 

I hope this helped. :)))

=^._.^=

 Mar 19, 2021
 #2
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thank you <3

xxJenny1213xx  Mar 19, 2021
 #3
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You're welcome. :)))

<3

 

=^._.^=

catmg  Mar 19, 2021

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