Question

You flip a coin three times in a row. Assuming "H" represents heads and "T" represents tails, create a table, tree diagram, or list that represents the sample space of this event.

Please help me god bless you

Answer 1

Answer: Sure, I'd be happy to help!

There are two possible outcomes for each coin flip (heads or tails), so there are 2^3 = 8 possible outcomes for flipping a coin three times in a row.

One way to represent the sample space is to create a table or list:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

Another way to represent the sample space is to create a tree diagram, where each branch represents a coin flip and the end points represent the final outcome of three coin flips:

H T

/ \ / \

H T H T

/ \ / \ / \ / \

H H T H H T T H

/ / // \ / / //

H H H H T T H H H T T T H

Each branch of the tree represents a possible outcome for a particular coin flip. The final outcomes are represented at the end points of the tree.

Explanation: