Solution:
1 kilogram = 1000 grams
Each can weighs 40 grams
Number of cans = {1000}/{40}

1000 ÷ 40 = 25

Volume of one room = Length × Width × Height
Volume of one room = 14 ft × 11 ft × 8 ft
Volume of one room = 1232 ft³
Total volume of water flooding the area = Volume of one room × Number of rooms
Total volume of water flooding the area = 1232 ft³ × 3
Total volume of water flooding the area = 3696 ft³

Total possible outcomes:
Each die has 6 sides, so for 5 dice the total number of outcomes is:
6^5 = 7776
Favorable outcomes:
For all dice to show the same number:
- Choose 1 number out of 6 (e.g., all 1s, all 2s, etc.).
- There is only 1 way for all 5 dice to show that number once chosen.
So, favorable outcomes = 6
Probability:
P = 6 / 7776 = 1 / 1296
The probability is 1/1296 (about 0.00077 or 0.077%).

Count total socks
- Black: 2 pairs = 4 socks
- Red: 3 pairs = 6 socks
- White: 4 pairs = 8 socks
- Gray: 1 pair = 2 socks
Total = 4 + 6 + 8 + 2 = 20 socks
Probability (first sock white)
Number of white socks = 8
P(first white) = 8/20 = 2/5
Probability (second sock black, given first was white)
After taking 1 white sock, remaining socks = 19
Number of black socks still = 4
P(second black | first white) = 4/19
Multiply probabilities
P(first white AND second black) = (8/20) × (4/19)
= 32/380
= 16/190
= 8/95
The probability is 8/95 (= 0.0842 or 8.4%).

Solution:
1. Flipping a coin and getting heads:
Assuming the coin is fair (unbiased), the probability of getting heads is 1/2.

2. Drawing an ace from a standard poker deck:
In a standard deck of 52 cards, there are 4 aces. So, the probability of drawing an ace is 4/52, which simplifies to 1/13.

3. Rolling 2 dice and getting a sum of either 7 or 11:
To get a sum of 7, there are 6 possible combinations of dice rolls: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). To get a sum of 11, there are 2 possible combinations: (5, 6) and (6, 5).

The total number of possible outcomes when rolling 2 dice is 6 * 6 = 36.

So, the probability of getting a sum of 7 is 6/36, which simplifies to 1/6.
The probability of getting a sum of 11 is 2/36, which simplifies to 1/18.

Now, let's calculate the overall probability by multiplying the individual probabilities:

Probability = Probability of heads * Probability of drawing an ace * Probability of getting a sum of 7 or 11
Probability = (1/2) * (1/13) * (1/6 + 1/18)
Probability = (1/2) * (1/13) * (4/18)
Probability = (1/2) * (1/13) * (2/9)
Probability = 1/117

So, the probability of flipping a coin and getting heads, drawing an ace from a standard poker deck, and rolling 2 dice and getting a sum of either 7 or 11 is 1/117 or approximately 0.0085 (rounded to four decimal places).