Question

People at the state fair were surveyed about which type of

lemonade they preferred. The results are shown below.

Pink lemonade: 156 males, 72 females

Yellow lemonade: 104 males, 48 females

Answer 1

P(pink lemonade | female) = P(pink lemonade) = 0.6.

Explanation:

Answer 2

Explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

Pink Lemonade Yellow Lemonade TOTAL

Male 156 104 260

Female 72 48 120

TOTAL 228 152 380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6