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2 answers:
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Answer:
The explanation is given below.
Step-by-step explanation:
Given:
Two events take place.
Let event A be flipping a coin
Let event B be rolling a 6-sided die.
Now, a coin has two faces; one is head and the other is tail.
So, the possible outcomes of event A are: {H, T}
H → Head, T → Tail.
Now, a six sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.
So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}
Now, each element of set A should match with all the elements of set B.
Now, tabular form should have a row of outcomes of B and a coum of outcomes of event A. Thus,
Outcomes 1 2 3 4 5 6
H H1 H2 H3 H4 H5 H6
T T1 T2 T3 T4 T5 T6
Therefore, the organised list has the following outcomes:
H1 T1
H2 T2
H3 T3
H4 T4
H5 T5
H6 T6
Finally, the correct tree diagram is attached below.
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