The number of ways that you obtain a 2 on the black die is 6 ways.
If two fair dice(one black die and one white die) are rolled, in order to know the number of ways a 2 can be obtained on the black die, we will use the method of combination.
- Combination has to do with selection. Hence the way a 2 can be obtained on a black die is 6C1
- Note that a die has 6 faces and a 2 can only occur once in a toss.
Get the required number of ways:
Hence the number of ways that you obtain a 2 on the black die is 6 ways.
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Answer:
A) 21.0 g of N2
Explanation:
From the periodic table:
atomic mass of nitrogen = 14 grams
This means that:
molar mass of N2 = 2(14) = 28 grams/mole
Now, from the given balanced equation, 2 moles of NaN3 produce 3 moles of N2. We can use cross multiplication to know the number of moles of N2 produced from 0.5 moles of NaN3 as follows:
2 moles NaN3 ..............> 3 moles N2
0.5 moles NaN3 ...........> ?? moles N2
number of moles of N2 = (0.5*3) / 2 = 0.75 moles
Now, we will get the mass of 0.75 moles as follows:
number of moles = mass / molar mass
mass = number of moles * molar mass
mass = 0.75 * 28
mass = 21 grams
Hope this helps :)
Answer:
-10,-6,4,3,7
Step-by-step explanation:
negatives are backwords the higher it gets the smaller the value
Outcome on winning = $100 - $20 = $80
Outcome on losing = $20
Probability of winning = 1/6
Probability of losing = 5/6
Expected Value = 1/6 (80) +5/6(-20) = -3.333
This shows on average from each game, the game earns $ 3.333.
So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330
So, the answer to this question is option A
