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Kipish [7]
3 years ago
5

If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is

i? compute for all values of i between 2 and 12.
Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
So we need to know the likelihood for each sum. the first sum is 2, and there is no way for one of the die to equal 6 if the sum is 2, therefore the probability is 0. The same applies when the sum is 3, 4, 5, and 6. Once the sum gets to 7, you must evaluate all possible options.
For 7, your options are 1&6, 2&5, 3&4, 4&3, 5&2, 6&1, where the number before the ampersand is the first die, and the number after is the second. there is only one option of the 6 choices where the first die is 6, therefore the probability is 1/6.
For 8, the options are 2&6, 3&5, 4&4, 5&3, 6&2. so of the 5 choices, there is only one option, therefore the probability is 1/5.
For 9, the choices are 3&6, 4&5, 5&4, 6&3. So of the 4 choices, there is 1 option, therefore the probability is 1/4. 
For 10, the options are 4&6, 5&5, 6&4. Of the 3 choices, there is 1 option, therefore the probability is 1/3.
For 11, the options are 5&6, 6&5. Of the 2 choices, there is 1 option, therefore the probability is 1/2.
Finally, for 12, the only option is 6&6. There is only one choice, so the probability is 1.
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martin spent 6 hours on homework every day . what percentage of the day did martin spend doing homework ?
Ann [662]
1/4 or .25 because 6 * 4 = 24 so 6 would be a quarter of 24
6 0
3 years ago
Jim drives his children to their sports activities outside of school. When he drives his son to baseball practice, it is a 6-km
trapecia [35]

Answer:

17.4 kilometers per week

Step-by-step explanation:

we know that

The number of kilometers that Jim drives a week is equal to the number of baseball practice multiplied by its round trip plus the number basketball practice multiplied by its round trip

Remember that

1\ km=1,000\ m

so

1,800\ m=1,800/1,000=1.8\ km

2(6)+3(1.8)=17.4\ km

6 0
3 years ago
Original price of a hotel: $240.00 per night.
lawyer [7]

Answer:

$ 929

Step-by-step explanation:

Given: Original price of stay in hotel= $240 per night

           Discount= 25%

           Total taxes and fee = 29%

Now, finding the price of stay for four night.

Using unitary method to solve:

As we know original price of hotel stay per night is $240

∴ Price of four night stay at original price is 240\times 4 = \$ 960

Next, 25% discount given on the price of four night stay.

∴ 960 - \frac{25}{100} \times 960 = 960 - 240

= \$ 720

∴Price of four night hotel stay after discount is \$ 720

Now, 29% taxes and fees been added to the price.

Price of hotel stay after discount + Taxes paid.

720 + ( \frac{29}{100} \times 720) = 720 + 209

= \$ 929

∴ \$ 929 is the price to be paid for four night stay at hotel after discount and taxes.

5 0
3 years ago
Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by
sergey [27]

Answer:

1,605\ ft^{2}

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft

A=\frac{65}{6}*18=195\ ft^{2}

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

1,800\ ft^{2}-195\ ft^{2}=1,605\ ft^{2}

4 0
3 years ago
When the sides of the cube are scaled by a factor of k = 5, the volume increases
dlinn [17]

Answer:

wooooooooooooooooooooooooooo

7 0
3 years ago
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