Acooler contains 4 cans of lemonade, 3 cans of apple juice, and 5 cans of iced tea. without looking, mr. rackovan selects a can, hands it to his friend, and then selects another can. what is the probability that he selected 2 cans of iced tea? p (iced tea then iced tea) question 1 options: about 0.174 or 17.4% about 0.152 or 15.2% about 0.138 or 13.8% about 0.833 or 83.3%

ANSWER

The number of lemonade in the can is 4. So we write,

The number of apple in the can is 3. So we write,

The number of iced tea in the can is 5. So we write,

.

The total number of drinks in the can,

.

Probability of selecting a can of an iced tea,

Since he selected the first one and gave it to his friend, the samples space as well as the number of iced tea will reduce by 1.

Probability of selecting a can of an iced tea again is,

.

Therefore probability of selecting 2 cans of an iced tea is

.

The correct answer is option C