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Find the probability.

6) A cooler contains twelve bottles of sportsdrink: three lemon-lime flavored, fourorange flavored, and five fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. Both times you get alemon-lime drink.

7) You select two cards from a standardshuffled deck of 52 cards. Both selectedcards are diamonds. (Note that 13 of the 52cards are diamonds.)

1 Answer

5 votes

Answer:

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

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

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 =
(3)/(12) * (3)/(12) = (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 =
(13)/(52)

Probability of getting diamond on second card =
(12)/(51)

Probability of getting diamond on both cards =
(13)/(52) * (12)/(51)=(1)/(17)

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

User Venkat V
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