a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavored. if you randomly select two beverages. what is the probability that both beverages are lemon flavored and 1 beverage is water and other is tea

The required probability is

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle Probability of selecting a lemon bottle out of water bottles.

Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle Probability of selecting a lemon bottle out of tea bottles.

Formula for probability of an event E can be observed as:

Probability of selecting a water bottle:

Probability of selecting a lemon flavored bottle from water bottle:

Probability of selecting a lemon flavored water bottle = P(A)

Probability of selecting a tea bottle:

Probability of selecting a lemon flavored bottle from tea bottle:

Probability of selecting a lemon flavored tea bottle = P(B)

The required probability is:

P(A) + P(B):

step-by-step explanation: