Answer:
you should accept the $1,000 bill
Step-by-step explanation:
Given the information:
- $500 for rolling 1 or 2
- $400 for rolling 3
- lose $300 for rolling 4,5,6
P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
P (rolling a 3) = 1/6
P (rolling 4 or 5 or 6) = 3/6 = 1/2
Hence, the expected value for 1 time is:
E = (1/3)*500 + (1/6)*400 - (1/2)*300
E = $166 + $66 - $150
E = $82
Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820
The expected value is $82, meaning you should accept the $1,000 bill
Answer:
m<X = 
Step-by-step explanation:
From the given isosceles triangle, we have;
<W and <V as the base angles
So that,
m<W = m<V = 27 (base angles of an isosceles triangle are equal)
Thus,
m<X + m<V + m<W = 180 (sum of angles in a triangle)
m<X + 27 + 27 = 180
m<X + 54 = 180
m<X = 180 - 54
= 126
m<X = 
Answer:
The answer for the first equation is,
B. 11
The answer for the second equation is,
D.none of these.