If you roll two dice, what is the probability of rolling a 3 and an even number?

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If you roll two dice, what is the probability of rolling a 3 and an even number?

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Answer 1 · 2015-10-31T14:00:51

$1/6$

Explanation:

The probability of rolling a 3 is $1/6$ .
The probability of rolling an even number is $3/6$ .
Therefore by the multiplication principle, the probability of both the one and the other event occurring is $1/6xx3/6=1/12$

This is when you first roll a 3 and then an even number.
The probability of first rolling an even number and then a 3 is exactly the same.

So the probability of rolling a 3 and an even number (in whatever order) are (adding the chances now):
$1/12+1/12=1/6$

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If you roll two dice, what is the probability of rolling a 3 and an even number?

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