In a binomial trail, the probability of success is 0.6 for each trial. find the probability of each of the following. 51. 9 success in 20 trials 53. 6 failures in 12 trialsand could you show your work plz

Binomial distribution is given by the formula:
p(x=r)=(n!/(r!(n-r)!))p^r q^(n-r)
thus:
a] Probability of obtaining 9 success in 20 trials will be:
P(x)=[20!/(9!(20-9)!)]*0.6^9*0.4^(20-9)
Simplifying the above we get:
P(x)=167960*0.6^9*0.4^11
P(x)=0.071

b] Probability of obtaining 6 failures in 12 trials
P(x)=[12!/(6!(12-6)!)]*0.4^6*(0.6)^(12-6)
simplifying the above we obtain:
P(x)=924*0.4^6*0.6^6
P(x)=0.1766