Answer: d. 0.92
Step-by-step explanation:
Given : Number of blue marbles in bag = 5
Number of red marbles in the bag = 2
Total marbles in bag= 5+2=7
Since, we draw a marble, record its color, replace it, and then draw a second marble.
It means every outcome is independent of each other.
Now, the probability that you draw a blue marble at least once = 1- P(no blue marble drawn)
=[tex]1-\text{P(both marble are red)}\\\\=1-\dfrac{2}{7}\times\dfrac{2}{7}\\\\=1-\dfrac{4}{49}\\\\=\dfrac{49-4}{49}\\\\=\dfrac{45}{49}=0.918367346939\approx0.92[/tex]
Hence, the probability that you draw a blue marble at least once= 0.92
Hence, the correct answer is d. 0.92 .
