Question

Please help me solve this problem step by step pleaseeee!
The probability that an archer hits the target is p= 0.8, so the probability that he misses the target is q = 0.2. It is known that in this situation the probability that the archer hits the target exactly r times in n attempts is given by the term containing pr in the binomial expansion of (p + q)n.
Find the probability that the archer hits the target exactly four times in six attempts

Answer 1

well, they tell you that

the probability that the archer hits the target exactly r times in n attempts is given by the term containing p^r in the binomial expansion of (p+q)^n

You have p=0.8 and q=0.2
You want the term containing p^4 in the expansion of (p+q)^6

That term will be C(6,2)p^4q^2
= 15(.8^4)(.2^2) = 0.25