a. A: the number is a factor of 35 b. B: the number is a multiple of 2 c. C: the number is a prime number

Q3: A professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How many different groups of 6 problems are there from the 12 problems? (b) Dana did only 6problems of one assignment. What is the probability that the problems she did comprised the group that was selected to be graded.

Use the spinner shown to find the probabilities indicated. с F E Not landing on orange: A D B I Preview

Jeri is listening to the songs on a new CD in random order.  She will listen to two different songs, and will buy the CD if she likes both of them.  Assume that there are 10 songs on the CD and that she would like 5 of them. Before she had listened to any of the songs on the CD, what would have been the probability that she would buy the CD?  Hint:  To find this probability, first find the number of combinations of 2 out of the 5 songs that she likes (how many different combinations of 2 out of the 5 songs are there?).  Then find the number of combinations of 2 out of the 10 songs on the CD (how many different combinations of 2 songs can she pick from the CD?).  Take the number of combinations of the 5 songs she likes and divide that by the number of combinations of the 10 songs..      Question 7 options:   A. 10/45 or 22% B. 10/120 or 8.3% C. 4/9 or 44% D. 45/10 or 450%