School is finally over. You are looking forward to some well earned rest and relaxation. You are not focused on the fall PSAT and the spring SAT and ACT.
The summer before your junior year is the time to start preparing for the SAT and ACT. It is important to recognize that the single greatest advantage to early preparation is the repetitive nature of SAT and ACT questioning...
The night before, collect:
plenty of sharpened #2 pencils
a small pencil sharpener (in case your pencils break during the exam)
a watch (you cannot rely on the proctor and there may not be a wall clock or it may be on the wall behind your seat)
your admission ticket
directions to the testing center
You are playing a game involving three dice. You can choose to bet on any number from 1 to 6.
I'll roll the three dice. If:
- none shows your number, you lose $1
- one shows your number, you win $1
- two show your number, you win $3
- three show your number, you win $5
What is the expected value of this game?
Email your answer so as not to ruin the...