Question

A bag contains 6 blue marbles, 4 red marbles, and 4 green marbles. You choose one without looking,

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

$P=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}$

$P=\dfrac{8}{14}$

$P=\dfrac{4}{7}$

Therefore, the probability that the selected marble is red or green, is $\dfrac{4}{7}$.