Probability In Dice Rolling – Why Previous Outcomes Do Not Affect The Next

Using a six-sided die, Carlin has rolled a six on each of 4 successive tosses. What is the probability of Carlin rolling a six on the next toss?1/21/41/61/301/3125

Answer: 1/6Explanation:The outcomes of previous rolls do not affect the outcomes of future rolls. There is one desired outcome and six possible outcomes. The probability of rolling a six on the fifth roll is 1/6, the same as the probability of rolling a six on any given individual roll.

The probability of Carlin rolling a six on the next toss is 1/6.

Each toss of the die is an independent event, meaning that the outcome of one toss does not affect the outcome of another. Therefore, just because Carlin has rolled a six on each of the four previous tosses does not change the probability of rolling a six on the next toss.

The probability of rolling a six on any given toss of a six-sided die is 1/6. So, the probability of rolling a six on the fifth toss is also 1/6, regardless of what happened on previous tosses.

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