Question

If a coin is tossed 30 times what is the probability of guessing right 22 times or 73% of the time?

Answer 1

0.545%

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%.