Relative Likelihood of n Sixes on 6n Dice/Mistake

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Source Work

1992: David Wells: Curious and Interesting Puzzles:

The Puzzles:
Prince Rupert's Cube
$129$ (Solution)


Mistake

Our short table shows the probabilities, rounded to three decimals, of obtaining the mean number or more sixes when $6 n$ dice are tossed.
$6 n$ $n$ $\map P {\text {$n$ or more sixes} }$
$6$ $1$ $0.665$
$12$ $2$ $0.619$
$18$ $3$ $0.597$
$24$ $2$ $0.584$
$30$ $5$ $0.576$
$96$ $6$ $0.542$
$600$ $100$ $0.517$
$900$ $150$ $0.514$


Correction

The $6$th line is incorrect.

For $96$ dice, you are looking to score at least $16$ sixes, not $6$, as $\dfrac {96} 6 = 16$ not $6$.


Sources