Question

From a barrel of colored marbles you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is either green or purple. Write your answer in simplest form.

Answer 1

Green is 4 and Purple is 6 so you put it in a fraction by adding all of them and the just green and purple so 10/30 simplified is 1/3.  

Answer 2

Answer:
`(1)/(3)`

Explanation:

Given: The total number of marbles =
`7+5+8+4+6=30`

The number of green marbles = 4

The probability of selecting a green marble =
`(4)/(30)`

The number of purple marbles = 6

The probability of selecting a purple marble =
`(6)/(30)`

Now, the experimental probability of randomly selecting a marble that is either green or purple. is given by :-

`\text{P(either green or purple)}=\text{P(green)+P(purple)}\\\\\Rightarrow\ \text{P(either green or purple)}==(4)/(30)+(6)/(30)\\\\\Rightarrow\ \text{P(either green or purple)}==(4+6)/(30)\\\\\Rightarrow\ \text{P(either green or purple)}=(10)/(30)=(1)/(3)`