UEFA Problem!

Discrete Mathematics Level 4

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. \(\ddot\smile\)


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