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:
4) y = 2x - 7
Step-by-step explanation:
First we have to find the slope by using the following formula....
let (3, - 1) be
, let (8, 9) be
, and m be the slope, then....

Now that we know the slope we can find the equation of the function by using point-slope for of the function which look like this.....

The complete question in the attached figure
we know that
m∡4=65°
m∡4=m∡2---------> by internal alternate angles
m∡5=m∡3---------> by internal alternate angles
m∡1=180°-m∡2---------> 180°-65°--------> m∡1=115°
the answer is
m∡1=115°