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What is the probability that this third shot our James bond takes will be worse than the second shot?

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James Bond is caught up in a mysterious scenario where the evil villain has him blindfolded. He somehow breaks through the handcuffs but is unable to get the blindfold off. Upon searching, he comes across a bow and 3 arrows. He can hear the villain speak, and thus tries to take a shot at him. He launches the first arrow, it misses the villain. He then launches the second arrow and it misses by a greater margin.

What is the probability that this third shot our James bond takes will be worse than the second shot?

posted Apr 18, 2022 by Rahul Vaidya

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James Bond is caught up in a mysterious scenario where the evil villain has him blindfolded. He somehow breaks through the handcuffs but is unable to get the blindfold off. Upon searching, he comes across a bow and 3 arrows. He can hear the villain speak, and thus tries to take a shot at him. He launches the first arrow, it misses the villain. He then launches the second arrow and it misses by a greater margin.

What is the probability that this third shot our James Bond takes will be worse than the second shot?

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There are 20 white hats and 13 black hats in a box.
Neeraj randomly took 3 hats ( in succession) out of the box and did not put them in the box.
All three hats were black.
What is the probability that the fourth hat that he takes out at random will also be black?

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