Thomas wants to invite Madeline to a party. He has an \( 80 \% \) chance of bumping into her at school. Otherwise, he'll call her on the phone. If he talks to her at school, he's \( 90 \% \) likely to ask her to a party. However, he's only \( 60 \% \) likely to ask her over the phone. This is the tree diagram that represents the probability of Thomas inviting Madeline to a party. 

What is the total probability of Thomas inviting Madeline to the party? 

\( 84 \% \) 

\( 100 \% \) 

\( 90 \% \) 

\( 64 \% \) 

g. A ball is drawn from a box containing \(4\) red balls, \(7\) green balls and \(8\) blue balls. Find the probability that the ball drawn is 

i) red                     iii) blue 

ii) red or green      iv) not blue 

Determine whether events "drawing a red ball" and "drawing a blue ball" are mutually exclusive? 

If events \( A \) and \( B \) are disjoint, what is \( P ( A \cap B ) \) ? 

a \( 1 \) , because they share all outcomes. 

b \( 1 , \) because they do not share any incomes. 

c \( 0 , \) because they do nat share any outcomes. 

d \( 0 \) , because they share outcomes. 

What happens to the Addition Rule when the two events considered are disjoint? 

a If \( A \) and \( B \) are disjoint, then \( P ( A \cup B ) = P ( A ) + P ( B ) \)

b If \(A\) and \(B\) are disjoint, then \( P ( A \cap B ) = P ( A ) + P ( B ) \)

c If \(A\) and \(B\) are disjoint, then \( P ( A \cup B ) = P ( A ) - P ( B ) \) 

d If \( A \) and \( B \) are disjoint, then \( P ( A \cup B ) = P ( A ) + P ( B ) + P ( A \cap B ) \) 

Which of the following equations is used to find the mutually exclusive event? 

a \( P ( B ) - P ( A ) \) 

b \( P ( A ) + P ( A ) \) 

c \( P ( A ) - P ( B ) \) 

d \( P ( A ) + P ( B ) \) 

Geoff rode his bike along an \( 8 \)-mile path and lost his cell phone at some random location somewhere along the way. What is the probability that Geoff dropped his phone during the first mile or the last mile? 

a \( 25 \% \) 

b \( 28 \% \) 

c \( 12.5 \% \) 

d \( 22 \% \)