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Binomial & Poisson Distributions · Question 9 of 68

Question 9

EasyOriginal question

A fair coin is tossed 6 times. What is the probability of exactly 3 heads?

Options for question 9

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. P(X=3)=6C3(12)6P(X = 3) = {}^{6}C_3\left(\frac{1}{2}\right)^{6}.

  2. =2064=516= \frac{20}{64} = \frac{5}{16}.

Worth noting

12\frac{1}{2} treats 'half heads' as the chance itself; only 20 of the 64 sequences have exactly 3.

Concept
Exactly r successes
Typical time
60 s
Your time
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The rule this testsBinomial probabilities
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