1. The Powerball lottery is decided every Wednesday and Saturday night by
drawing five white balls out of a drum with 69 balls and one red ball out of a
drum with 26 red balls. The Powerball jackpot is won by matching all five white
balls in any order and the red Powerball. Each ticket costs $2. A ticket is
defined as a set of five white and 1 red number.
a. [2 pts] How many possible different Powerball tickets can be purchased?
b. [1 pts] How many possible different winning Powerball tickets are there?
2. In a recent survey, 1358 Arizona State University students were asked about
their plans after graduation. The following results were obtained: 1194 plan to
get a new job, 306 plan to attend graduate school, and 547 plan to buy a new car.
46 plan to do all three things (get a new job, attend graduate school, and buy a
new car). 28 plan to only attend graduate school. 432 plan to get a job and buy a
new car, but not attend graduate school. 221 plan to get a new job and attend
graduate school.
a. [3 pts] Draw a Venn diagram that represents the situation consisting of
cardinalities.
Correct answer 1
Explanation 1
Correct answer 0.5
Explanation 0