Multiple choice

There are 10 coloured beads in a bag. Out of them 3 are red, 5 are green and the remaining are blue. Two beads are picked one by one without replacement. What is the probability that first bead is green and second is red?

  1. 0.10

  2. 0.17

  3. 0.20

  4. 0.25
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total beads = 10. Red = 3, Green = 5, Blue = 2. Probability(1st Green) = 5/10 = 1/2. Probability(2nd Red | 1st Green) = 3/9 = 1/3. Total probability = (1/2) * (1/3) = 1/6 = 0.1666... which rounds to 0.17.

AI explanation

Calculate the probability of dependent events using the multiplication rule for independent draws without replacement. The probability of picking a green bead first is 5 out of 10, and the subsequent probability of picking a red bead from the remaining 9 is 3 out of 9. Multiplying these probabilities gives 1/2 times 1/3, resulting in 1/6. Converting the fraction 1/6 to a decimal yields approximately 0.17. The answer is 0.17.

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