Question 1171774
This is a binomial distribution because there is a fixed probability, fixed finite sample, and the probability doesn't change for each selection.  Poisson would have unlimited (potentially) events, and geometric would be looking for the probability that the first event of interest would occur on the third or some other fixed trial.
a. 6C4*0.47^4*0.53^2=0.2056
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b. Look at 0,1,2 and take the complement
for 0 it is 0.53^6=0.0222
for 1 it is 6*.47*.53^5=0.1179
for 2 it is 0.2615
They sum to 0.4016
The answer is the complement or 0.5984
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c. For at most 5, want to get 6 and subtract that from 1.
prob (6)=0.47^6=0.01078
the answer is 0.9892

For the answers to a, b, c, none of these events is unusual.
For 0 or for 6, it would be uncommon, since the probability is almost 1/2 and that would be 1/64 probability approximately.