Consider events A and B. P(A or B)= P(A) + P(B) - P(A and B)
The rule refers to the probability that A can happen, or B can happen, or both can happen together. That is what is stated in the addition rule.
Often P(A and B ) is zero, if they are mutually exclusive. In this case the rule just becomes P(A or B)= P(A) + P(B).
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the n partition of A , in B , so the results of summation of all Ai's probabilities which individually intersect with B divided by probability of B is totals theorem, so simply we say if you want to find the probability of any partition is bays theorem and if you have partitions and wants to find the probability of A is Totals theorem. (S.M SINDHI QUCEST LARKANA)
What is the symbol for a Probability of success in a binomial trial?
Addition
I expect you mean the probability mass function (pmf). Please see the right sidebar in the linked page.
For each birth, you have two choices - either a boy or a girl. Then, the probability for a certain birth to obtain a choice is ½. Using Binomial Theorem, we have (10 choose 8)(½)8(½)² = 45/1024.