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Alyssa and Gabe play a game of die. If she rolls a 1, 2 or 3, Gabe gives her $6. She rolls a 4 or 5, he gives her $1. If she rolls a 6, she gives him $25. What is the probability that she rolls a 6?

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Answer:

To find the probability of rolling a 6, we first need to determine the total number of outcomes and then calculate the number of outcomes where she rolls a 6.

There are 6 possible outcomes when rolling a fair six-sided die.

Out of these 6 outcomes, only 1 outcome results in her rolling a 6.

So, the probability of rolling a 6 is:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Probability = 1 / 6

Therefore, the probability that she rolls a 6 is 1/6 or approximately 0.1667.