Answer: The expected value of this game is 2/3
Step-by-step explanation:
Give that
If it's black, you lose a point. If it's red, you gain a point.
And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.
Assuming you should stop after three cards when you are +2.
The only question is whether to draw if you are +1 on the first draw.
If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points
1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.
From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3
Answer:
x=5
Step-by-step explanation:
distribute first
2(-4x+3)
-8x+6
-8x+6+3x+3=-16
combine like terms
then get the variable alone
-5x+9=-16
-9. -9
<u>-5x</u><u>=</u><u>-25</u>
-5. -5
x=5
Greetings!
"<span>The difference of six times a number and 7 is -49"...
In number and variables, this would be:
</span>

<span>
Add
7 to both sides.
</span>

<span>Simplify.
</span>

Divide both sides by
6.

Simplify.

Hope this helps.
-Benjamin
Answer:
x≥7
Step-by-step explanation:
6(x-3)/8≥3
Multiply each side by 8/6
8/6*6(x-3)/8≥3*8/6
(x-3)≥4
Add 3 to each side
x-3+3≥4+3
x≥7
Answer:
Step-by-step explanation:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle, square or other you have to add the lengths of all the sides.
For example if it comes out to 90 then you round it to the nearest hundredth.
Hope it helps