Question

A bag contains:• 5 red marbles• 6 blue marbles• 3 green marbles• 2 yellow marbles• 4 purple marblesA student draws a random marble from the bag, records its color, and returnsit to the bag. The student makes a total of 60 draws. What is a reasonableprediction for the number of times a blue marble will be drawn?O A. 18B. 15C. 20O D. 12

Answer 1

Given:

`\begin{gathered} 5\text{ Red marbles} \\ \\ 6\text{ Blue marbles } \\ \\ 3\text{ green marbles} \\ \\ 2\text{ yellow marbles} \\ \\ 4\text{ purple marbles} \end{gathered}`

Find-: Number of times a blue marble will be drawn.

Sol:

For each time chance of blue marble is:

`=\frac{\text{ Number of blue marbles}}{\text{ Total number of marbles}}`

Total marbles is:

`\begin{gathered} =5+6+3+2+4 \\ \\ =20 \end{gathered}`

Chance for blue is:

`\begin{gathered} =(6)/(20) \\ \\ =0.3 \end{gathered}`

For 60 times draws.

`\begin{gathered} =0.3*60 \\ \\ =18 \end{gathered}`

So 18 times blue marbles will be drawn.