Question

1. A particular iPod playlist contains 31 songs, 15 of which are by the Beatles. Suppose the shuffle feature is used to play the songs in random order with no repeating.
(a) How many different ways of the playing order for the first Beatles song heard is the fourth song played?
(b) What is the probability the first Beatles song heard is the fourth song?
(c) What is the probability that only two Beatles songs played for the first 4 songs?
2. Assume that 60% of all people go to McDonalds often, 50% of all people go to KFC often, and 40% of all people go to Wendy's often. If, 35% of all people go to both McDonalds and KFC often, 30% of all people go to KFC and Wendy's often, and 20% of all people go to Wendy and McDonalds often. Finally, 15% of all people go to the three restaurants often.
(a) What proportion of all people only eat often at Wendy's?
(b) What proportion of all people never eat often at the three restaurants?

Answer 1