In: Statistics and Probability
Ten people participated in a protest demonstration at UCLA. During a break, each person put her or his sign on the grass. After the break, each person randomly selected one of the ten signs.
a. What's the probability at least one protester picked up her or his own sign? Justify your answer.
b. Before taking an exam, 33 probability students put their cell phones in a box. As they left class, each student randomly grabbed a phone. What's the probability that no student got her or his own phone? Justify your answer.
c. Do part (a) a different way.
d. Do part (b) a different way.