Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2018-03-17 13:28:39

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

[ASK] Professional Goalkeeper

A professional goalkeeper can fend off a penalty kick with the probability of
. In an event a kick is done 5 times. The probability of that goalkeeper being able to fend off those penalty kicks 3 times is ....
A.

B.

C.

D.

E.

Can someone give me a hint?


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Offline

#2 2018-03-17 19:34:15

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: [ASK] Professional Goalkeeper

One way is to use the binomial distribution.

Suppose that
represents the number of times that the goalkeeper saves a penalty. Then,
has a binomial distribution:

You want to calculate
. Do you see why?

Offline

#3 2018-03-17 21:39:33

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: [ASK] Professional Goalkeeper

Because what being asked is the probability that the goalkeeper will fend of the kick 3 times?


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Offline

#4 2018-03-17 21:41:25

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: [ASK] Professional Goalkeeper

Yes -- do you know how to calculate this?

Offline

#5 2018-03-17 22:23:55

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: [ASK] Professional Goalkeeper

?


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Offline

#6 2018-03-17 22:26:19

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: [ASK] Professional Goalkeeper

Yes, that is correct.

Offline

#7 2018-03-17 22:29:03

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: [ASK] Professional Goalkeeper

Thanks. Sorry for being kept spoonfed.


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Offline

Board footer

Powered by FluxBB