We have 5 white cards, numbered 1 to 5.

Each card can change to blue but this will have a different probability of happening for each card, e.g.:

card 1: 5% probability of turning into blue

card 2: 3% "

card 3: 4% "

card 4: 5% "

card 5: 1% "

Is it possible to calculate the chance of having: no blue cards, 1 blue card, 2 blue cards, 3 blue cards, 4 blue cards, all (5) blue cards, respectively? (the sum of these probabilities will obviously be 100%).

N.B.: for e.g. a "3-blue-cards" combination, any 3 of the 5 cards can be changed, e.g. cards 1,2,3 or 1,3,5 or 2,4,5 etc...

Thanks