Sara has a box of 12 greeting cards. The cards are equally divided into 3 different designs of butterflies, shells, and flowers. Sara likes all the designs. So, she reaches into the box and randomly selects a card. Which THREE statements are correct?
A Each design has the same probability of being randomly selected.
B The probability of not selecting a flower design is 2/3.
C The probability of selecting a butterfly or shell design is 1/3.
D The probability of selecting a butterfly design is 1/3
E The data does not represent a uniform probability model.
A, C, D are correct.
A is correct because each design has an equal number of cards, so they have an equal probability of being selected.
C is correct because the butterfly and shell designs together make up 8 out of 12 cards, which simplifies to 2/3.
D is correct because there are 4 butterfly cards out of 12, which simplifies to 1/3.
B is incorrect because the probability of not selecting a flower design is actually 2/3, which is the same as the probability of selecting a butterfly or shell design.
E is incorrect because the data does represent a uniform probability model since each design has an equal number of cards.