Question

If you place these marbles in a bag,close your eyes, and choose a marble,what is the probability that it will beblue?Simplify the fraction.Enter the number that belongs in the green box.

Answer 1

The following information below can be obtained from the image;

Blue Marbles: 6

Red Marbles: 5

Yellow Marbles: 3

Total marbles = 14

The probability of an event, E, is given as:

`\begin{gathered} Pr(E)\text{ = }\frac{number\text{ of favourable outomes}}{number\text{ of sample space}} \\ \text{Thus, the probability of of choosing a blue marble is;} \\ Pr(\text{choosing a blue marble)=}\frac{number\text{ of blue marbles}}{number\text{ of total marbles}} \\ Pr(choo\sin g\text{ a blue marble) = }(6)/(14) \\ \text{In simplified form;} \\ Pr(\text{choosing a blue marble)=}(3)/(7) \end{gathered}`

Hence, the number that belongs in the green box is 3