The theoretical probability of getting heads is; 12%
We are given;
Number of times coin is flipped = 20 times
Number of heads gotten = 12 heads
Number of tails gotten = 8
Assuming the coin is fair, then;
p = 0.5 and q = 0.5
Using binomial probability formula we have;
P(getting heads) = ²⁰C₁₂ * 0.5¹² * 0.5⁽²⁰ ⁻ ¹²⁾
P(getting heads) = 125970 * 0.00000095367431640625
P(getting heads) = 0.12 or 12%
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