Question 1176603
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Hi
Obviously, this presentation is for the interpretation:
"he makes a goal for the first three times"  
as making 3 goals before missing. Obviously making the 1st 3 goals is more exciting.
Binomial Distribution:  p = .65,  n = 4
P(x= 3) = binompdf(4, .65, 3) = .3845
there are four ways x=3 can be done: NG in 1st, 2nd, 3rd, or 4th position
 P(G,G,G,NG) = .3845/4 = .0961

It is fun to see different ways of approaching a problem:
In case of the other tutor:
 1st Step:  making 3 in a row:  should be: 3C3(.65)^3(.35)^0 = .274625
 2nd Step:  (.35)(.274625) = .0961  same final answer.

Wish You the Best in your Studies.
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