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Lynna [10]
3 years ago
9

A red die, a blue die, and a yellow die (all six sided) are rolled. we are interested in the probability that the number appeari

ng on the blue die is less than that appearing on the yellow die, which is less than that appearing on the red die. that is, with b, y, and r denoting, respectively, the number appearing on the blue, yellow, and red die, we are interested in p(b < y < r).
Mathematics
1 answer:
NISA [10]3 years ago
6 0

5/54 or approximately 0.092592593  
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
 r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
 r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
 r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
 r = 4, y = 2, b = 1, so n = 3 + 1 = 4
 r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
 r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
 r = 5, y = 2, b = 1, so n = 9 + 1 = 10
 
 And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
 r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
 r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
 r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
 r = 6, y = 2, b = 1, so n = 19 + 1 = 20 
 And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
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Nastasia [14]

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never [62]

Answer:

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Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

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6 0
3 years ago
Read 2 more answers
Why is the point ( 3, 4 ) the solution to this system of equations?<br> y= 1/3x + 3<br> y= 2x - 2
evablogger [386]

Answer:

The answer to your question is because it is a solution of each equation.

Step-by-step explanation:

Data

Point (3,4)

Equation l     y = 1/3x + 3

Equation ll     y = 2x - 2

Process

1.- To test is a point is solution to a system of equations,

-Substitute the point in both equations

Equation l            4 = 1/3(3) + 3

                            4 = 1 + 3

                            4 = 4               The point is a solution because

                                                     4 = 4

Equation ll            4 = 2(3) - 2

                             4 = 6 - 2

                             4 = 4               This point is a solution for the second

                                                     equation but not for the first one.

2.- Conclusion

As the point is a solution of each equation, it is a solution of the system.

6 0
3 years ago
Find the input (x) of the function y=5x-3 if the output (y) is 32
Alborosie

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

3 0
3 years ago
Read 2 more answers
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