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Setler [38]
3 years ago
15

You roll a pair of fair six-sided dice. The sample space of 36 possible outcomes is shown below. Based on this information, answ

er the following questions.
Mathematics
1 answer:
White raven [17]3 years ago
6 0

Answer:

All the 36 outcomes are equally likely.

Step-by-step explanation:

The sample space of rolling a single six-sided dice is:

S = {1, 2, 3, 4, 5, 6}

Then the sample space of rolling a pair of six-sided dice is:

S₁ = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

        (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

        (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

        (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

        (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

        (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

All the 36 outcomes are equally likely, i.e. all the outcomes has the same probability of success, \frac{1}{36}.

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The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second numbe
ki77a [65]
Don’t know if there’s much of an equation for it, but I guess the best way to write it out is 10 + x = -18. Then, you would subtract the 10 from both sides in order to isolate the x. So then you’re left with x = -28. So -28 is your answer.
8 0
3 years ago
For a certain​ candy, 15​% of the pieces are​ yellow, 1010​% are​ red, 2020​% are​ blue, 55​% are​ green, and the rest are brown
MatroZZZ [7]
A) the probability it is brown would be 50%; the probability it is yellow or blue would be 35%; the probability it is not green is 95%; the probability it is striped is 0%.
B) the probability of all brown would be 12.5%; the probability that the third one is the first red one drawn is 8.1%; the probability that none are yellow is 61.4%; the probability that at least one is green is 14.3%.

Explanation:
A) The probability that it is brown is the percentage of brown we have.  Brown is not listed, so we subtract what we are given from 100%:
100-(15+10+20+5) = 100-(50) = 50%.  The probability that one drawn is yellow or blue would be the two percentages added together:  15+20 = 35%.  The probability that it is not green would be the percentage of green subtracted from 100:  100-5=95%.  Since there are no striped candies listed, the probability is 0%.
B) Since we have an infinite supply of candy, we will treat these as independent events.  All 3 being brown is found by taking the probability that one is brown and multiplying it 3 times:
0.5*0.5*0.5 = 0.125 = 12.5%.  
To find the probability that the first one that is red is the third one drawn, we take the probability that it is NOT red, 100-10 = 90% = 0.9, for the first two, and the probability that it IS red, 10% = 0.1, for the last:
0.9*0.9*0.1 = 0.081 = 8.1%.

The probability that none are yellow is found by raising the probability that the first one is not yellow, 100-15=85%=0.85, to the third power:

0.85^3 = 0.614 = 61.4%.

The probability that at least one is green is computed by subtracting 1-(probability of no green).  We first find the probability that all three are NOT green:
0.95^3 = 0.857375
1-0.857375 = 0.143 = 14.3%.
3 0
3 years ago
Use the properties of operations to simplify this algebraic expression. rewrite the expression by following the directions in ea
o-na [289]

Step 3:

5x + 20 + 3x + 9x + 7 becomes

5x + 3x + 9x + 20 + 7

Step 4:

(5x + 3x + 9x) + (20 + 7)

Step 5:

17x + 27

If you have any further questions feel free to ask.

Hope this helps

5 0
3 years ago
Read 2 more answers
Data: the range, mean, median, and 46 22 46 49 45 39 40 42 41 39 40 36 4. 5. Range: _______________ Median: ______________ Data:
oksian1 [2.3K]

Answer:

hahahahahahahabbahahahabbaha

3 0
2 years ago
Previous
Natali5045456 [20]

Answer: y = 5d + 7 / c - 3

Step-by-step explanation:

Step 1: Add -3y to both sides

cy - 7 + -3y = 5d + 3y + -3y

= cy - 3y - 7 = 5d

Step 2: Now, add 7 on both sides

cy - 3y - 7 +7 = 5d +7

= cy - 3y = 5d +7

Step 3: Factor out y

y(c - 3) = 5d + 7

Step 4: Divide both sides by c-3

y(c - 3) / c - 3 = 5d+7 / c-3

Your answer for this should be

y = 5d + 7 / c - 3

Hope this helped!

3 0
3 years ago
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