Answer:
Lily can be expected to win 45 more games than Tucker.
Step-by-step explanation:
The Probability of winning the game for Tucker = 2/5
The Probability of winning the game for Lily = 5/8
Total number of chances played = 200
Now, [tex]\textrm{Probability of winning an Event} = \frac{\textrm{Total number of wins}}{\textrm{Total number of trials played}}[/tex]
⇒Total number of wins = P(winning ) x Number of Times it is played
Now, Total number of wins for Tucker = [tex]\frac{2}{5} \times 200 = 80[/tex]
or, Tucker wins 80 games out of 200 played.
And, Total number of wins for Lily = [tex]\frac{5}{8} \times 200 = 125[/tex]
or,Lily wins 125 games out of 200 played.
Hence, Lily is expected to win :
125 - 80 = 45 more games than Tucker.
