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%.