Answer: The probability of Sarah picking a blue marble on 2 consecutive draws without replacement = 15.8%
Step-by-step explanation:
Given: Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.
The probability of Sarah picking a blue marble on 2 consecutive draws without replacement = [tex]\dfrac{40}{100}\times\dfrac{39}{99}=0.157575757576\approx15.8\%[/tex]
Hence, the probability of Sarah picking a blue marble on 2 consecutive draws without replacement = 15.8%