A bag contains 6 blue marbles, 4 red marbles, and 4 green marbles. You choose one without looking,
What is the probability that it is red or green? Enter your answer as a fraction.
The probability that you choose a red marble or a green marble is

Respuesta :

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].