UEFA Problem!
In a Final match between Barcelona and Real Madrid, it is down to penalty shootouts! As we all know(Well, maybe some people wouldn't know) Each side gets to shoot 5 penalties.
Now, Here is the question:-
Suppose, That the penalty shooter can shoot the ball to 3 different places in the goal to score. They are:- Right, Left and center(However, That doesn't matter) The probability of the shooter shooting into any of the three is equal.
What is the probability that the Shooter will score?
Details and Assumptions
Answer up to 3 decimal places.
Kindly consider the case of the Goalie as well.
The answer is 0.6666.
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1 solution
The Shooter has a choice of hitting he ball to 3 places.
Now, The goalie has to jump to the exact same place where the shooter shoots the ball in order to save the goal.
The probability of The goal being saved is 9 1 ∗ 3
[ 3 1 ∗ 3 1 ] [The probability of the goalie and Shooter hitting to the same place and it is multiplied by 3 because the player can hit it to 3 different places]
hence, The probability of The goal being scored is 1 − 3 1 = 3 2 = 0 . 6 6 6 . . .
Hence, The answer is 0 . 8 8 8 ( 0 . 6 6 6 + 0 . 2 2 2 )
Cheers! xD