A contestant on a game show is offered a choice of 4 boxes. one of the...

Question:

A contestant on a game show is offered a choice of 4 boxes. one of the boxes contains a diamond and the other three boxes each contain a pebble. tThe contestant cannot see into the boxes and so does not know which box contains the diamond. First the ontestant selexts a box. Host opens it ait to reveal a pebble. ( The host know the boxes and choose normaly between boxes containing pebble.). The host then ask the contestant if he want to change his election and after this host opens anothe box containing a pebble. the host ask the contestant if he wants to switch again. what is the probability that the contestant will win the diamond if he changes his selection both times?

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