Given:
Number of blue marbles = 6
Number of red marbles = 4
Number of green marbles = 4
Choose one marble without looking,
To find:
The probability that the selected marble is red or green.
Solution:
For the given problem,
Total outcomes = Total number of marbles
= [tex]6+4+4[/tex]
= [tex]14[/tex]
Favorable outcomes = Number of red or green marbles.
= [tex]4+4[/tex]
= [tex]8[/tex]
The probability that the selected marble is red or green, is
[tex]P=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]
[tex]P=\dfrac{8}{14}[/tex]
[tex]P=\dfrac{4}{7}[/tex]
Therefore, the probability that the selected marble is red or green, is [tex]\dfrac{4}{7}[/tex].