What is the probability of drawing two blue balls in a row without replacement from the same bag?

• A. 1/10
• B. 1/5
• C. 1/20
• D. 1/4

Answer: (A)

When you draw without replacement, the chance of a sequence depends on the outcome of the previous draw, so you multiply the conditional probabilities.

Here, there are 2 blue balls in a bag of 5 total. The first draw is blue with probability 2/5. If that happens, there is now 1 blue left out of 4 balls, so the second draw is blue with probability 1/4. Multiply these together: (2/5) × (1/4) = 2/20 = 1/10.

So the probability of drawing two blue balls in a row without replacement is 1/10.