ISEE Word Problems Question 281: Answer and Explanation

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Question: 281

15. There are 2 purple beads, 5 black beads, and 9 yellow beads in a bag. If 2 beads are selected at random without replacing the first bead, what is the probability of picking a yellow bead and then a purple bead?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

C

Probability is always a fraction, . In the first reach into the bag of beads, we want a yellow bead (9) out of all the beads (16). Therefore, the first reach is . For the second reach, we want a purple bead (2), but there is one less bead total, so the probability of getting a purple bead is . When you need two probabilities to occur, you multiply the fractions.

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