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Suppose a fair coin is tossed 4 times. Write out all four outcomes (.pdf

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Suppose a fair coin is tossed 4 times. Write out all four outcomes (TTHH, etc). What is the probability ... of obtaining four heads, of obtaining two heads and two tails, obtaining no heads, and of obtaining at least one head? Solution Sample space: 0 tails, 4 heads: HHHH 1 tails, 3 heads HHHT HHTH HTHH THHH 2 tails, 2 heads HHTT HTHT HTTH THHT THTH TTHH 3 tails, 1 heads TTTH TTHT THTT HTTT 4 tails, 0 heads TTTT So 16 total possibilities. Probability of... A) four heads = 1 / 16 B) two heads and two tails = 6 / 16 C) obtaining no heads = 1 / 16 D) and of obtaining at least one head? = 15 / 16.

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Suppose a fair coin is tossed 4 times. Write out all four outcomes (TTHH, etc). What is the probability ... of obtaining four heads, of obtaining two heads and two tails, obtaining no heads, and of obtaining at least one head? Solution Sample space: 0 tails, 4 heads: HHHH 1 tails, 3 heads HHHT HHTH HTHH THHH 2 tails, 2 heads HHTT HTHT HTTH THHT THTH TTHH 3 tails, 1 heads TTTH TTHT THTT HTTT 4 tails, 0 heads TTTT So 16 total possibilities. Probability of... A) four heads = 1 / 16 B) two heads and two tails = 6 / 16 C) obtaining no heads = 1 / 16 D) and of obtaining at least one head? = 15 / 16

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