Question

A jar contains 5 yellow marbles numbered 1 to 5 and 12 blue marbles numbered 1 to 12. A marble is drawn from the jar. Find the probability the marble is even numbered given the marble is yellow.

Answer 1

0.4 = 40% probability the marble is even numbered given the marble is yellow.

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 5 yellow marbles, which means that the number of total outcomes is
`T = 5`

2 of those(2 or 4) are even numbered, which means that the number of desired outcomes is
`D = 2`

Find the probability the marble is even numbered given the marble is yellow.

`p = (D)/(T) = (2)/(5) = 0.4`

0.4 = 40% probability the marble is even numbered given the marble is yellow.