Tanya claims if you roll a fair number cube four times, you are more likely to get 2, 3, 1, 6 than 6, 6, 6, 6. Is she correct? Fully explain your answer.

Question

Mathematics

Zion Alexander

12 January, 21:50

Tanya claims if you roll a fair number cube four times, you are more likely to get 2, 3, 1, 6 than 6, 6, 6, 6. Is she correct? Fully explain your answer.

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Answers (1)

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Kimora Clarke · Answer 1

Tanya is incorrect.

Step-by-step explanation:

Each time you roll the dice, you have a 1 in 6 shot in getting any number. Rolling a 6 does not lower the odds of rolling another 6. Therefore the odds of both of these are (1/6) ^4.

This does however change if you are allowed to roll these numbers in any order. In that case, the first batch would be easier.