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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
 #1
avatar+533 
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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
 #2
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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
 #3
avatar+533 
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Thanks! I've edited my answer with the correction.

asdf335  Mar 23, 2019

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