Question

Miles has six marbles in total in a bag (red, blue, green, yellow, purple, and orange). He selects two marbles without replacing the first. Enter your answers in simplified fraction form in the spaces provided. The probability that the first marble Miles selects is the yellow marble is The probability that the second marble Miles selects is the blue marble is​

Answer 1

`(1)/(30)`

Explanation:

Separate into Case 1 and Case 2:

Case 1: We want a yellow marble

There is only 1 yellow marble out of the 6 marbles.

Probability for a yellow marble =
`(1)/(6)`

Case 2: We want a blue marble

There is only 1 blue marble out of the 5 marbles remaining. (We took 1 yellow marble out already)

Probability for a yellow marble =
`(1)/(5)`

Multiply Case 1 with Case 2 because they are a combination:

`(1)/(6) *(1)/(5) =(1)/(30)`