The probability is 0.2153.
It is a branch of mathematics that deals with the occurrence of a random event.
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]^{n}C_x* P^{x}* (1-p)^{n-x}[/tex]
n=18, p=0.8
So,
[tex]^{18}C_{14}* 0.8^{14}* (1-0.8)^{18-14}[/tex]
=0.2153
Hence, the probability is 0.2153.
Learn more about probability here:
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