In order to decide who will play first in a certain board game, each player rolls a four-sided die; the player with the highest score begins. What is the  probability that two particular people...

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In order to decide who will play first in a certain board game, each player rolls a four-sided die; the player with the highest score begins. What is the  probability that two particular people obtain the same score?

 

 

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In order to decide who will play first in a certain board game, each player rolls a four-sided die; the player with the highest score begins.

If two people are playing the game, the total number of ways in which they can roll the dice is 4*4 = 16. The  number of ways in which the two get the same number on their die is 4.

4/16 = 1/4

The probability that two players get the same score is 1/4.

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