The tree diagram that representing the total number of ways to flip 6 coins would have 64 branches.
A probability tree is a picture indicating probabilities and some conditional probabilities for combinations of two or more events. Tree diagrams display all the possible outcomes of an event. Each branch in a tree diagram represents a possible outcome.
For the given situation,
Number of coins = 6 coins
When we flip a coin, we get two outcomes as heads or tails.
So, number of sides a coin can have = 2 sides
Now if we draw a tree diagram for flipping n coins, then the number of branches can be found by 2ⁿ.
Thus number of ways of flipping 6 coins is
2⁶ = 64 branches.
Hence we can conclude that the tree diagram that representing the total number of ways to flip 6 coins would have 64 branches.
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