Question

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

Answer 1

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

=
`6+4+4`

=
`14`

Favorable outcomes = Number of red or green marbles.

=
`4+4`

=
`8`

The probability that the selected marble is red or green, is

`P=\frac{\text{Favorable outcome}}{\text{Total outcomes}}`

`P=(8)/(14)`

`P=(4)/(7)`

Therefore, the probability that the selected marble is red or green, is
`(4)/(7)`.