Answer: 0.0046
Explanation:
First, let's calculate the total number of outcomes that you can see from a pair of dice.
Each dice has 6 options, so the total number of combinations is:
6*6 = 36.
Now, the combinations that are equal to 3 are:
3 and 1
1 and 3
2 combinations.
So the probability is equal to the quotient between the number of combinations that are equal to 3, and the total number of combinations:
P = 2/36 = 0.055
Now, the combinations that are equal to 10 are:
5 and 5
4 and 6
6 and 4.
3 combinations.
Then the probability is:
P = 3/36 = 0.0833
Now, the probability of both events happening is equal to the product of the probabilities for each event, so the total probability is equal to:
P = ( 0.0833)*( 0.055) = 0.0046