1) Once a Woman won $1 Million in scratch off game from a lottery. Some years later, she won $1 million in another scratch off game. In the first game, she beat odds of 1 in 6.2 million to win. In the second, she beat odds of 1 in 805,600.
a) What is the probability that an individual would win 1 million in both games if they bought one scratch off ticket from each game?
b) What is the probability that an individual would win $1 million twice in the second scratch of
2) A diamond can be classified as either gem-quality or industrial grade. 87% of diamonds are classified as industrial-grade.
(a) 2 diamonds are chosen at random. What is the probability that both diamonds are industrial-grade?
(b) 9 diamonds are chosen at random. what is the probability that all 9 diamonds are industrial-grade?
(c) what is the probability that at least 1 of 9 randomly selected diamonds is gem-quality?
(d) would it be unusual that at least 1 of 9 diamonds is gem-quality?