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# a) In order to decide who will play first in a certain board game, each player rolls a...

beans1 | eNoter

Posted May 14, 2013 at 12:58 PM via web

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

i) What is the probability that two particular people obtain the same score?

ii) Three people decide to play the game. What is the probability that when they roll the die to decide who starts, they all obtain deifferent scores?

pramodpandey | College Teacher | Valedictorian

Posted May 14, 2013 at 1:28 PM (Answer #1)

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Each player rolls a four-sided dice; the player with the highest score begins.

i) What is the probability that two particular people obtain the same score?

Sample space N={ (11),(12),(13),(14),(21),(22),(23),(24),(31),(32)

(33),(34),(41),(42),(43),(44)}

obtain the same score E ={(11),(22),(33),(44)}

P(E)=n(E)/N

=4/16

=1/4

(ii) Three people decide to play the game. What is the probability that when they roll the die to decide who starts, they all obtain deifferent scores

Total number of possible out comes in this experiment= `4^3=64`

They all obtain different E={(123),.....(431)},

By permutation = 4.3.2 =24

n(E)=24

P(E)=n(E)/N

=24/64

=3/8

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