Multiple choice

A bag contains 7 red beads and 11 green beads. Two beads are picked at random without replacement. What is the probability of getting a red bead after a green bead?

  1. 0.248

  2. 0.252

  3. 0.267

  4. 0.282
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total beads = 18. Probability of green first = 11/18. Remaining beads = 17. Probability of red second = 7/17. Total probability = (11/18) * (7/17) = 77 / 306 = 0.2516, which rounds to 0.252.

AI explanation

Using the multiplication rule for dependent events, the probability of picking a green bead and then a red bead is the product of their individual probabilities. The probability of the first bead being green is 11/18, and the probability of the second bead being red is 7/17. Multiplying these gives 77/306, which equals approximately 0.2516 and rounds to 0.252.

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