The probability of eventually throwing a Prime number is 1. On a single throw, of a fair die, the probability is 1/2.
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(1 in 6)2 or (1 in 36)
The probability is 6/36 = 1/6
To roll a three on any one dice, the odds are 1/6. To roll a three on any one of a pair of dice, the odds are 1/6 x 1/6 which is 1/36 or 1 in 36 chance.
This can be considered two independent Bernoulli events, so the probability of the whole is the product of the individual events, or (1/6)(1/6) = 1/36.
5 out of 6