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zlopas [31]
3 years ago
11

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

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0

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.

Prob \{ T,T,T,T,H\}

Since this events are independent we can write it as

Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ T\} \times Prob \{ H\} =.5^5= 0.03125

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