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Archive/ Maths

One Six Changes the Odds

Maths / Difficulty Tier 4, Tensor. A layered challenge requiring substantial reasoning or technical control.
About Tier 4 - Tensor

A layered challenge requiring substantial reasoning or technical control.

Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.

The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.

One Six Changes the Odds

Probability / Conditional Probability - 5-8 min

Roll two independent, fair six-sided dice, each numbered 11 to 66. Keep only rolls for which at least one die shows 66. Among those rolls, what is the probability that the total is 77?

Assumptions

The dice are distinguished by colour. The information comes from checking the stated event, not from selecting and reporting one particular die.

Enter your answer as an exact fraction.

Exact value required.

More Options for One Six Changes the Odds

Collection question · Revision 1 · ID: dice-condition