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Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 14 blue and 6 green beads. Based on these results, what is most likely the number of blue beads in the bag?

{A} 15
{B} 20
{C} 30
{D} 35

Respuesta :

aksnkj

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,

[tex]P(Blue)=\dfrac{14}{20}[/tex]

[tex]P(blue)=0.7[/tex].

Now, the number of total blue beads in the bag will be,

[tex]P(blue)=\dfrac{blue\ beads \ in \ whole \ bag }{Total\ beads}[/tex]

[tex]0.7=\dfrac{blue\ beads \ in \ whole \ bag }{50}[/tex]

[tex]{blue\ beads \ in \ whole \ bag }=0.7\times 50[/tex][tex]{blue\ beads \ in \ whole \ bag }=35\\[/tex]

Hence the correct option is (D). 35

For more details about probability follow the link:

https://brainly.com/question/795909

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