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Question

The tree diagram shows the four possible outcomes when a coin is tossed twice. If H and T represent "heads" and "tails," respectively, then the four outcomes are HH, HT, TH, and TT.

a. Make a tree diagram showing the outcomes if a coin is tossed 3 times.

b. The solid lines of the tree diagram are called branches and the elements of the bottom row (H, T, H, and T) are called leaves. How many branches and leaves are in your diagram for part (a)?

c. How many branches and leaves would there be in a tree diagram showing the toss of a coin 10 times?

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We have to make a tree diagram showing the possible outcomes of a coin if we toss it three times. We must find out how many branches and leaves our tree has for different amounts of tosses.

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