SOLUTION: 5.) Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. Two beads are drawn without replacement from the pouch. What is the probability that both of the beads ar

Algebra ->  Probability-and-statistics -> SOLUTION: 5.) Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. Two beads are drawn without replacement from the pouch. What is the probability that both of the beads ar      Log On


   



Question 999874: 5.) Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. Two beads are drawn without replacement from the pouch. What is the probability that both of the beads are yellow?
Answer by ikleyn(52781) About Me  (Show Source):
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5.) Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. Two beads are drawn without replacement from the pouch. What is the probability that both of the beads are yellow?
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7 + 10 + 3 = 20.

The full space of events consists of combinations of  20  things taken  2  at a time;  i.e.  C%5B20%5D%5E2  combinations.
Of them two yellow beads you can choose by  C%5B10%5D%5E2 ways.

Hence,  the probability is

C%5B10%5D%5E2 : C%5B20%5D%5E2 = %2810%2A9%29%2F%281%2A2%29 : %2820%2A19%29%2F%281%2A2%29 = %2810%2A9%29%2F%2820%2A19%29 = %289%29%2F38 = 0.236842 (approximately).