On a game show, Elena is given the choice of three doors: Behind one door is the Grand Prize; behind the others, consolation pri
zes. She picks Door A, and the host, who knows what is behind each door, opens Door B, revealing a consolation prize. The host then offers Elena the opportunity to change her selection to Door C. What should she do? A. She should not accept because the probability of Door A being the Grand Prize increased.
b. She should accept because the probability of Door C being the Grand Prize increased.
c. She could either accept or not accept because now the probabilities of both doors are equal.
d. She could either accept or not accept because the probabilities of the three doors were equal from the beginning.
c. She could either accept or not accept because now the probabilities of both doors are equal.
Step-by-step explanation:
After door B was opened, the probability that the prize is behind door A is 50% and behind C is also 50%, so, it doesn't matter which door she chooses.
Call x the distance from home plate to second base.
There is a right triangle formed by homeplate, first base and second base. The sides of this triangle are 80 feet and 80 feet. The hypothenuse meets Pythagoras theorem:
