Question

Ten identical slips of paper each contain one number from one to ten, inclusive. The papers are put into a bag and then mixed around.

Which statements about the situation are true? Check all that apply.

P(6) = P(1)
P(5) = One-half
P(>10) = 0
P(1 < x < 10) = 100%
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
If A ⊂ S; A could be {1, 3, 5, 7, 9}

Answer 1

True:
- P(6) = P(1). True. Each slip is equally likely, so P(6) = P(1) = 1/10.
- P(>10) = 0. True. No slip has a number greater than 10.
- S = {1,2,3,4,5,6,7,8,9,10}. True. Those are the possible outcomes.
- If A ⊂ S; A could be {1,3,5,7,9}. True. That set is a subset of S.

False:
- P(5) = One-half. False. P(5) = 1/10, not 1/2.
- P(1 < x < 10) = 100%. False. 1 < x < 10 means {2,...,9}, so the probability is 8/10 = 80%, not 100%.