Answer:
49 in the first box and 7 in the second one
25 in the 3rd box and 5 in the 4th
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

We have
and
, because the dice are fair.
Now we use the assumption of independence to claim that

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
Answer:
x= √2 - 2 + √5-4√2, √2-2 - √5-4 √2
Okay, so a kilometer=1000 meters, knowing that we can multiply 350*300 for the area, which would give us 105000 meters squared, then we divide 105000 by 1000, giving us 105 square kilometers.