The sample space SS consist of ordered pairs of whole numbers, the first entry (first coordinate) from one to two and the second entry (second coordinate) from one to four. Let event AA = the sum is even and event BB = the first number is prime.Opens externally
Write all probabilities as fractions, if necessary. Fractions don’t have to be reduced.
a) Determine the sample space SS, which consists of order pairs (x,y)(x,y).
b) Determine the outcomes in each event.
c) Find P(A)P(A) and P(B)P(B).
d) Find the events (AA AND BB) and (AA OR BB).
AA AND BB =
AA OR BB =
e) Find P(AP(A AND B)B) and P(AP(A OR B)B).
P(AP(A AND B)B) =
P(AP(A OR B)B) =
f) Find the complement event of BB, which is denoted by B’B′, and find P(B’)P(B′).
g) Find P(A)+P(A’)P(A)+P(A′).
h) Find P(A∣B)P(A∣B) and P(B∣A)P(B∣A).
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