Let A denote the event that the next item checked out at a college library is a math book, and let B be the event that the next item checked out is a history book. Suppose that P(A) = .40 and P(B) = .50.
a. Why is it not the case that P(A) + P(B) = 1?
b. Calculate P( $A ^ { t }$
)
c. Calculate P(A $\bigcup$
B).
d. Calculate P( $A ^ { t }$ $\cap$ $B ^ {t }$
).

Question

Let A denote the event that the next item checked out at a college library is a math book, and let B be the event that the next item checked out is a history book. Suppose that P(A) = .40 and P(B) = .50.
a. Why is it not the case that P(A) + P(B) = 1?
b. Calculate P( $A ^ { t }$ 
) 
c. Calculate P(A $\bigcup$ 
B). 
d. Calculate P( $A ^ { t }$ $\cap$ $B ^ {t }$ 
).

Quizplus · Accepted Answer

The Answer of Let A denote the event that the next item checked out at a college library is a math book, and let B be the event that the next item checked out is a history book. Suppose that P(A) = .40 and P(B) = .50.
a. Why is it not the case that P(A) + P(B) = 1?
b. Calculate P( $A ^ { t }$ 
) 
c. Calculate P(A $\bigcup$ 
B). 
d. Calculate P( $A ^ { t }$ $\cap$ $B ^ {t }$ 
).

Let a Denote the Event That the Next Item Checked AtA ^ { t }At

Let a Denote the Event That the Next Item Checked $A ^ { t }$