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# When you toss a fair coin, the probability of getting heads is 1/2 and the probability of getting tails is 1/2.

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When you toss a fair coin, the probability of getting heads is 1/2 and the probability of getting tails is 1/2.

1. When a coin is tossed 3 times, X is the number of heads.

(a) Create a probability distribution table for the variable X.

(b) Create a probability histogram for the variable X.

(c) What is the probability of tossing 3 heads in a row? Explain.

(I need help asap pls)

Mar 23, 2019

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Since I don't know LaTeX that complicated, I will tell you the probability of rolling 0, 1, 2, and 3 heads.

When you roll 0 heads, that means you can't roll a head each time, or $$\left(\frac{1}{2}\right)^3$$, which equals $$1\over8$$.

When you roll 1 head, that means you roll HTT, THT, and TTH. The probably is still the same, but we multiply by 3 for each ordering, for a probability of $$3\over8$$.

When you roll 2 heads, we can use the same logic to get $$3\over8$$ again.

When you roll 3 heads, you get a head each time, or $$\left(\frac{1}{2}\right)^3={1\over8}$$.

Hoping this helped,

asdf334

Mar 23, 2019
edited by asdf335  Mar 23, 2019
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You are almost right asdf334, but you slipped up at the end! The probability of three heads is (1/2)3 = 1/8 (i.e. the same as getting no tails).

Mar 23, 2019
edited by Alan  Mar 23, 2019
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Thanks! I've edited my answer with the correction.

asdf335  Mar 23, 2019