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Q: What are PR proficiencies?
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What is the describing of the complementary event and find its probability?

Suppose there is an event A and the probability of A happening is Pr(A). Then the complementary event is that A does not happen or that "not-A" happens: this is often denoted by A'.Then Pr(A') = 1 - Pr(A).Suppose there is an event A and the probability of A happening is Pr(A). Then the complementary event is that A does not happen or that "not-A" happens: this is often denoted by A'.Then Pr(A') = 1 - Pr(A).Suppose there is an event A and the probability of A happening is Pr(A). Then the complementary event is that A does not happen or that "not-A" happens: this is often denoted by A'.Then Pr(A') = 1 - Pr(A).Suppose there is an event A and the probability of A happening is Pr(A). Then the complementary event is that A does not happen or that "not-A" happens: this is often denoted by A'.Then Pr(A') = 1 - Pr(A).


What is the difference between the multiplication rule for independent versus dependent events?

Given two events, A and B, Pr(A and B) = Pr(A)*Pr(B) if A and B are independent and Pr(A and B) = Pr(A | B)*Pr(B) if they are not.


What is the probability of obtaining exactly three heads in four flips of a coin given that at least two are heads?

Pr(3H given >= 2H) = Pr(3H and >= 2H)/Pr(>=2H) = Pr(3H)/Pr(>=2H) = (1/4)/(11/16) = 4/11.


What does pr mean for coin?

PR is a grading system used for proof coins


How does probability distribution looks like when tossing a coin 3 times?

Pr(3 Heads) = 0.125 Pr(2 Heads and 1 Tail) = 0.375 Pr(1 Head and 2 Tails) = 0.375 Pr(3 Tails) = 0.125