Question

Megan draws three different diagrams to represent the sample space of flipping a coin and rolling a 6-sided die.

Answer 1

Answer:

I'll give you a more complete answer.

Table is the second table. If you don't know what a table is in mathematical terms, search it up. So the table is the one on the bottom of the other table.

Organized list is:

H 1      T 1

H 2     T 2

H 3     T3

H 4     T4

H 5     T5

H 6     T6

Tree diagram is the one where both T and H have six lines instead of three each. If you get what I mean.

Answer 2

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.