Find the odds in favor of a blue marble from the box of 7 red, 14 yellow, 21 green, 42 blue, and 84 purple marbles. Make sure to simplify your answer.

A. 2 to 3

B. 1 to 4

C. 1 to 3

D. 3 to 2

The odds in favour of a blue marble is 1 : 3

Step-by-step explanation:

Given:

Number of red balls - 7

Number of yellow balls = 14

Number of green balls = 21

Number of blue balls = 42

Number of purple balls = 84

To Find:

odds in favour of a blue marble = ?

Solution:

The odds in flavor - the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

Here the number ways in which a blue ball can be selected is the total number of blue balls present.

number ways in which a blue ball can be selected = 42

The number of ways in which the blue ball cannot be selected is the possible ways in which other balls can be selected

The number of ways in which the blue ball cannot be selected

=7+14+21+84

=126

Now the odds in favour of a blue marble

42 : 126

Reducing the ratio, we get

1 : 3