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Result probability 0 heads, 6 tails 1/64 1 heads, 5 tails 3/32 2 heads, 4 tails 15/64 3 heads, 3 tails 5/16 4 heads, 2

Result probability

0 heads, 6 tails 1/64

1 heads, 5 tails 3/32

2 heads, 4 tails 15/64

3 heads, 3 tails 5/16

4 heads, 2 tails 15/64

5 heads, 1 tail 3/32

a. What is the probability that all six tosses are the same (all heads or tails)?

The probability is ? . (Simplify your answer.)

b. What is the probability that the six tosses are not all the same?

The probability is ?(Simplify your answer.)

c. What is the probability of getting one head and five tails when you toss six coins at once?

The probability is ?(Simplify your answer.)

(Show work)

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