Question

Find the probability.

Answer 1

Answer:

The Probability of getting lemon drink on both draws  is 1/16

The Probability of getting diamond on both cards is 1/17

Step-by-step explanation:

1)

No. of lemon-lime flavored bottle = 3

No. of orange flavored bottle = 4

No. of fruit punch flavored bottle = 5

Total bottles = 12

We are given that  You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.

Probability of getting lemon drink on both draws with replacement =$\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}$

So, The Probability of getting lemon drink on both draws  is 1/16

2)

No. of diamond cards = 13

Total cards =52

Probability of getting diamond on first card = $\frac{13}{52}$

Probability of getting diamond on second card =$\frac{12}{51}$

Probability of getting diamond on both cards = $\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}$

So, The Probability of getting diamond on both cards is 1/17