I dont understand this question
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Answer: 339/8788= 0.039
Step-by-step explanation:
Let black card be represented with B and the red card be represented with r. Therefore, P(B,r) is the expected value.
Hence, we say, (b,r) is not equal to (0,0) for the first state, we then, have a probability of B/r+B(the probability of drawing out a black card and loosing a point.
Also, (B-1,r) state with the probability of r/r+B(which is the probability of drawing out a red card and gaining a point).
The expected value is therefore;
B/r+B(-1+(B-1,r) + r/r+B(1+P(B,r-1))
Therefore, if we have negative, then;
P(B,r)=0,B/r+B(-1,r)) + r/r+B(1+P(B,r-1))...
P(0,0)=0; P(26,26) = 339/8788
=.039
Note: we say that the expectation at the start if we draw red,gaining +1 and if we draw black and then draw two reds you end +1. That is; 1/26 × 2/26 × 1/26 = 1+ 338/8788
= 339/8788.
<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes.
</span>In Step 1, Hannah wrote
<span> as the sum of two separate derivatives </span>
<span>using the </span><span>sum rule.
</span>
This step is perfectly fine.
In Step 2,
was kept as it is, and 
was rewritten as 
using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.
This step is perfectly fine.
In Step 3,
was rewritten as 
supposedly using the constant multiple rule.
The problem is that according to the constant multiple rule,
should be rewritten as 
and not as 
.
<span>Therefore, Hannah made a mistake in this step.</span>
</span>In Step 1, Hannah wrote
</span>
This step is perfectly fine.
In Step 2,
This step is perfectly fine.
In Step 3,
The problem is that according to the constant multiple rule,
<span>Therefore, Hannah made a mistake in this step.</span>