Need help in finding the probability of events occuring?

Question:

i have a total of 16 events whereby the probability of 2 events occuring is 0.3, the probability of 6 events occuring is 0.003 and the probability of 8 events happening is 0.0003.

How can i find out the probability of 1 event occuring out of the 16 events?

How can i find out the probability of 5 events occuring out of the 16 events?

How can i find out the probability of 10 events occuring out of the 16 events?

Assumptions:

the 16 events occuring are considered to be independent events.

Note:

i cannot use binomial distribution to solve as there are 3 different probabilties for the 3 cases. is this question considered to be multinomial distribution?

Thanks for your help