PROPABILITIES OF A RANGE OF OUTCOMES

Hello I am new here, so cheers to everyone!

I have a question regarding math-probabilities,

so:

lets say you have a selected register of events that their probability ranges from 45.4% to 55.5%

now let's say you want to split the register of events into two sets of a range of probabilities

such as SET A range is between 1/1.8 to 1/1.99 or from 55.5% aprx. to 50.2 approx.
and SET B is between 1/2 to 1/2.2 or from 50% to 45.4%

Now the question is what are the chances of SET B happening after 10 trials (imagine a biased coin with heads coming out 50.2 to 55.5 of 100 times and tails coming out 45.4 to 50% of times)

And what would be the formula to calculate this.

Thanks in advance, cheers!

Quote: VINCENT999

Hello I am new here, so cheers to everyone!

I have a question regarding math-probabilities,

so:

lets say you have a selected register of events that their probability ranges from 45.4% to 55.5%

now let's say you want to split the register of events into two sets of a range of probabilities

such as SET A range is between 1/1.8 to 1/1.99 or from 55.5% aprx. to 50.2 approx.
and SET B is between 1/2 to 1/2.2 or from 50% to 45.4%

Now the question is what are the chances of SET B happening after 10 trials (imagine a biased coin with heads coming out 50.2 to 55.5 of 100 times and tails coming out 45.4 to 50% of times)

And what would be the formula to calculate this.

Thanks in advance, cheers!

Is this a case in which either Set A or Set B must be the outcome? So, that the sum of the probabilities of SET A and SET B = 1?

I don't understand what this statement means.

"such as SET A range is between 1/1.8 to 1/1.99 or from 55.5% aprx. to 50.2 approx.
and SET B is between 1/2 to 1/2.2 or from 50% to 45.4%"

If you say the probability of A = 50.2% to 55.5%, then what is the shape of the distribution? Is a probability of 53% more likely than a probability or 55.5%?