Question

Determine the sample space of all of the possible outcomes one of choosing a card numbered 1, 2, 3, or 4, and a blue, green, or a yellow marble. How many outcomes involve a blue marble

Answer 1

`Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green,`
`2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}`

The number of occurrence that involve blue is 4

Explanation:

Given

`Card\ Number = \{1,2,3,4\}`

`Marble = \{Blue, Green, Yellow\}`

Required

Determine the sample space

To determine the sample space, we have to select a card number and write it alongside the marble colours.

i.e.

`Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green,`
`2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}`

Solving (b): Outcomes that involves blue marble

First, we list them out

`Blue = \{1\ Blue, 2\ Blue, 3\ Blue, 4\ Blue}`

Number of occurrence is 4