Question: using six, 6 sided dice. Commonly used in a game we play out here called 'Farkle' on our free time. This game is similar to

using six, 6 sided dice. Commonly used in a game we play out here called 'Farkle' on our free time. This game is similar to Yahtzee but with 1 extra dice and the point is to roll at least a one or a five or a combination of numbers but for this scenario I'm only using a one and five. If you roll a one or a five then you score and re-roll the rest of the dice that are not a one or a five. If you do not roll a one or a five then you lose or 'Farkle'. You have 6 chances to score since there are 6 dice.

(A) -With replacement- What is the probability of rolling 1 five on the first turn and rolling a 2, 4, 6, 2 and 3 on the second turn.

(B) -Without replacement- What is the probability of not scoring (Farkling) on the first roll.

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