We define the probability of a particular event occurring as:

What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are <em>independent</em>, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for <em>each </em>of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.
Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:
(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5
So, we have

probability of rolling at least one 5.
Answer: Eliza wakes up at 6:25 A.M.
Step-by-step explanation:
What I did is first used the 45 minutes to make the time 10:00 P.M. which leaves you with 8 hours and 25 minutes, then i added the 8 hours onto 10:00 P.M. which leaves you at 6:00 A.M. with 25 minutes left, then you add the 25 minutes onto 6:00 A.M. which puts it at 6:25 A.M.
Answer:
Stephanie has more than $900
Step-by-step explanation:
Represent the unknowns: a for Alexandra and s for Stephanie.
Then a + s > $2,500, and a = s + $700.
Substituting the latter into the former equation, we get:
(s + $700) + s > $2,500, or
2s > $1800
Then s > $900; Stephanie has more than $900.
Step-by-step explanation:




Answer:
https://youtu.be/cqF6M25kqq4
Step-by-step explanation: