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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

Sagot :

MrRoyal

Answer:

[tex]Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green,[/tex] [tex]2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}[/tex]

The number of occurrence that involve blue is 4

Step-by-step explanation:

Given

[tex]Card\ Number = \{1,2,3,4\}[/tex]

[tex]Marble = \{Blue, Green, Yellow\}[/tex]

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.

[tex]Sample\ Space = \{1\ Blue, 1\ Green, 1\ Yellow, 2\ Blue, 2\ Green,[/tex] [tex]2\ Yellow, 3\ Blue, 3\ Green, 3\ Yellow, 4\ Blue, 4\ Green, 4\ Yellow\}[/tex]

Solving (b): Outcomes that involves blue marble

First, we list them out

[tex]Blue = \{1\ Blue, 2\ Blue, 3\ Blue, 4\ Blue}[/tex]

Number of occurrence is 4

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