King, a golden retriever, can find a tennis ball hidden in his yard 89% of the time, while Tessa, a Labrador mix, can find a tennis ball hidden in her yard 94% of the time. Suppose King's owner hides a tennis ball in his yard 100 times and
Tessa's owner hides a tennis ball in her yard 150 times. Let K = the proportion of times King finds the tennis ball and T
= the proportion of times Tessa finds the tennis ball. What is the probability that the proportion of tennis balls King finds
is greater than the proportion Tessa finds?
0.050
0.088
0.476
0.912