The most likely the number of blue beads in the bag is 35.
Given,
Total bags of bead Jake has is 50.
Since Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag.
So, Jack recorded total 20 beads, 14 blue and 6 green.
Probability:
The probability of blue beads in 20 beads will be,
\(P(Blue)=\dfrac{14}{20}\)
\(P(blue)=0.7\).
Now, the number of total blue beads in the bag will be,
\(P(blue)=\dfrac{blue\ beads \ in \ whole \ bag }{Total\ beads}\)
\(0.7=\dfrac{blue\ beads \ in \ whole \ bag }{50}\)
\({blue\ beads \ in \ whole \ bag }=0.7\times 50\)\({blue\ beads \ in \ whole \ bag }=35\\\)
Hence the correct option is (D). 35
For more details about probability follow the link:
https://brainly.com/question/795909
