martha rolls this die once and chooses one of these cards. which tree - diagram represents the sample space…

martha rolls this die once and chooses one of these cards. which tree - diagram represents the sample space of this compound event?

martha rolls this die once and chooses one of these cards. which tree - diagram represents the sample space of this compound event?

Answer

Answer:

The first tree - diagram (the one with branches starting from 1, 2, 3, 4, 5, 6 and each of those branches splitting into 0 and 7).

Explanation:

Step1: Identify the first event

Rolling a die has 6 outcomes (1 - 6).

Step2: Identify the second event

Choosing a card has 2 outcomes (0 and 7).

Step3: Analyze tree - diagrams

The first tree - diagram correctly shows 6 initial branches for die outcomes and 2 sub - branches for card outcomes from each die outcome branch.