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29-08-2019
Mathematics

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Calculate the probability of needing at least 5 tosses of an unbiased coin to land a head.

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ignaciomsarmiento ignaciomsarmiento

08-09-2019

Answer:

0.03125

Step-by-step explanation:

If we have a fair coin the probability of landing a head is 50%.

We can think the question as what is the probability of landing four tails and then a head. That is we needed at least 5 tries to get a head.

[tex]Prob \{ T,T,T,T,H\}[/tex]

Since this events are independent we can write it as

[tex]Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ H\} =.5^5= 0.03125[/tex]

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