Geometric distribution
 

Geometric distribution problem 10


A game for two players is played using a fair 4-sided dice with sides numbered 1, 2, 3 and 4. One turn consists of throwing the dice repeatedly up to a maximum of three times. When a 4 is obtained, no further throws are made during that turn. A player who obtains a 4 in their turn scores 1 point. Show that the probability that a player obtains a 4 in one turn is .


 

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