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There are 8 permutations of three coins ...

T T T

T T H

T H T

T H H

H T T

H T H

H H T

H H H

... counting heads and sorting by count, you get ...

0 - T T T

1 - T T H

1 - T H T

1 - H T T

2 - T H H

2 - H T H

2 - H H T

3 - H H H

... so, the probability of each possible number of heads is 0: 1 in 8, 1: 3 in 8, 2: 3 in 8, and 3: 1 in 8.

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Q: How do you draw a probability diagram for the number of heads coming up and how many ways they can occur from flipping three coins?
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