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
They increased it by $10.
It ended up costing $60.
Hope this helps.
Answer:
No
Step-by-step explanation:
4 to the 7th power is 4x4x4x4x4x4x4 (4 multiplied by itself 7 times) And 7 to the 4th power is 7x7x7x7 (7 multiplied by itself 4 times)
D (x, y) ---> (x, -y)
We can look at Point X and Point X'.
Point X is at (2, -2), and Point X' is at (2, 2).
The y-value has been multiplied by -1, or turned positive, so the answer would be D.
