So for this, I will be doing the elimination method. Firstly, multiply both sides of the first equation by 2:
Next, add the two equations together to get . From here you can solve for x.
For this equation, just divide both sides by 8 and your first answer will be
Now that we have the value of x, substitute it into either equation to solve for y:
<u>In short, the solution is (2,-5), or A.</u>
Answer:
The probability that A selects the first red ball is 0.5833.
Step-by-step explanation:
Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
To find : What is the probability that A selects the first red ball?
Solution :
A wins if the first red ball is drawn 1st,3rd,5th or 7th.
A red ball drawn first, there are places in which the other 2 red balls can be placed.
A red ball drawn third, there are places in which the other 2 red balls can be placed.
A red ball drawn fifth, there are places in which the other 2 red balls can be placed.
A red ball drawn seventh, there are places in which the other 2 red balls can be placed.
The total number of total event is
The probability that A selects the first red ball is