SaraJessica SaraJessica
  • 08-11-2019
  • Mathematics
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If a coin is tossed 30 times what is the probability of guessing right 22 times or 73% of the time?

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MathPhys
MathPhys MathPhys
  • 08-11-2019

Answer:

0.545%

Step-by-step explanation:

The probability of guessing each coin toss is 50% or ½.  Using binomial probability, the probability of guessing exactly 22 coin tosses is:

P = nCr pʳ qⁿ⁻ʳ

P = ₃₀C₂₂ (½)²² (1−½)³⁰⁻²²

P ≈ 0.00545

So the probability is 0.545%.

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