SAT Math

Category - Stats and Probability

There are 6 blue, 8 red, and 4 green marbles in the bag. If 5 marbles are picked at once, what is the probability of picking 2 green and 3 red marbles from the bag?
  1. 2/51
  2. 2/49
  3. 5/18
  4. 3/51
  5. 3/49
Explanation
Answer: A - The probability of picking 2 green and 3 red marbles from the bag is 2/51.

((4×3)/(2×1)×(8×7×6)/(3×2×1))/((18×17×16×15×14)/(5×4×3×2×1))=(2×3×8×7)/(18×17×4×7)=2/51
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