四、Paul has two coolers. Cooler 1 contains 8 cans of cola and 3 cans
of lemonade. Cooler 2 contains 5 cans of cola and 7 cans of
lemonade. Paul randomly selects one can from Cooler 1 and
transfers it into Cooler 2. Subsequently, Betty randomly selects two
cans from Cooler 2. Given that both of Betty's selections are cans
of cola, what is the probability that the can Paul initially transferred
was lemonade? (10%)